13 research outputs found
Meta-GWAS identifies the heritability of acute radiation-induced toxicities in head and neck cancer
- Author
- Aguado-Barrera Miguel E.
- Alizadeh Behrooz Z.
- Alsner Jan
- Barnett Gillian C.
- Bates Amy M.
- Cascallar-Caneda Luis M.
- Chua Melvin L.K.
- Crijns Anne P.G.
- Dennis Joe
- Dorling Leila
- Dudding Tom
- Duprez Fréderic
- Eriksen Jesper G.
- Gómez-Caamaño Antonio
- Jena Rajesh
- Langendijk Johannes A.
- Lobato-Busto RamĂłn
- MartĂnez-Calvo Laura
- Naderi Elnaz
- Ness Andy
- Nicolaj Andreassen Christian
- Nutting Christopher
- Odding Yasmin
- Ong Enya H.W.
- Overgaard Jens
- Pring Miranda
- Schack Line M.H.
- Sim Adelene Y.L.
- Steenbakkers Roel J.H.M.
- Summersgil Holly
- Thomas Steve J.
- Thomson David J.
- Varela-Pazos Ana
- Vega Ana
- Welsh Ceilidh
- West Catharine M.L.
- Publication venue
- 'Elsevier BV'
- Publication date
- 01/11/2022
- Field of study
Background and purpose: We aimed to the genetic components and susceptibility variants associated with acute radiation-induced toxicities (RITs) in patients with head and neck cancer (HNC). Materials and methods: We performed the largest meta-GWAS of seven European cohorts (n = 4,042). Patients were scored weekly during radiotherapy for acute RITs including dysphagia, mucositis, and xerostomia. We analyzed the effect of variants on the average burden (measured as area under curve, AUC) per each RIT, and standardized total average acute toxicity (STATacute) score using a multivariate linear regression. We tested suggestive variants (p < 1.0x10-5) in discovery set (three cohorts; n = 2,640) in a replication set (four cohorts; n = 1,402). We meta-analysed all cohorts to calculate RITs specific SNP-based heritability, and effect of polygenic risk scores (PRSs), and genetic correlations among RITS. Results: From 393 suggestive SNPs identified in discovery set; 37 were nominally significant (preplication < 0.05) in replication set, but none reached genome-wide significance (pcombined < 5 × 10-8). In-silico functional analyses identified “3′-5'-exoribonuclease activity” (FDR = 1.6e-10) for dysphagia, “inositol phosphate-mediated signalling” for mucositis (FDR = 2.20e-09), and “drug catabolic process” for STATacute (FDR = 3.57e-12) as the most enriched pathways by the RIT specific suggestive genes. The SNP-based heritability (±standard error) was 29 ± 0.08 % for dysphagia, 9 ± 0.12 % (mucositis) and 27 ± 0.09 % (STATacute). Positive genetic correlation was rg = 0.65 (p = 0.048) between dysphagia and STATacute. PRSs explained limited variation of dysphagia (3 %), mucositis (2.5 %), and STATacute (0.4 %). Conclusion: In HNC patients, acute RITs are modestly heritable, sharing 10 % genetic susceptibility, when PRS explains < 3 % of their variance. We identified numerus suggestive SNPs, which remain to be replicated in larger studies
Measurement of soil water content
- Publication venue
- 'Informa UK Limited'
- Publication date
- Field of study
Initialized fractional differential equations with Riemann-Liouville fractional-order derivative
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Concerning the Geometric Shapes of Arteries and Arterioles
- Author
- Barr G.
- Bayliss L.E.
- Beamer P.D.
- Bell C.
- Belt E.
- Binder R.C.
- Bingham E.C.
- Birkhoff G.
- Bloch E.H.
- Boyd J.D.
- Cajori F.
- Clara M.
- Conraths H.
- Fulton G.P.
- Fulton J. F.
- FĂĄhraeus R.
- Green H.
- Green H.
- Green H.D.
- Green Herbert S.
- Hall M.
- Hatschek E.
- Hess W.
- Houwink R.
- J. Vernon Jeffords
- Knisely M.H.
- Knisely M.H.
- Knisely M.H.
- Knisely M.H.
- Knisely M.H.
- Knisely M.H.
- Knisely W.H.
- Knisely W.H.
- Lamb H.
- Mall F.
- Markowitz J.
- Melvin H. Knisely
- Milne-Thomson L.M.
- Nutting P.G.
- Orrin H.C.
- Pappenheimer J.R.
- Poiseuille J.L.M.
- Poiseuille J.L.M.
- Poiseuille J.L.M.
- Poiseuille J.L.M.
- Poiseuille J.L.M.
- Poiseuille J.L.M.
- Prandtl L.
- Quain R.
- Reiner M.
- Reiner M.
- Rex H.
- Rothmann M.
- Rouse H.
- Saunders E.A.
- Schocken K.
- Scott Blair G.W.
- Scott Blair G.W.
- Sisson S.
- Sommerfeld A.
- Spalteholz W.
- Tobin C.E.
- Wiggers C.J.
- Worthington W.C.
- Publication venue
- 'SAGE Publications'
- Publication date
- Field of study
Linear viscoelastic responses and constitutive equations in terms of fractional operators with non-singular kernels
- Author
- A. Atangana
- A. Atangana
- A. Atangana
- A. Atangana
- A. Atangana
- A. Drozdov
- A. Giusti
- A. Hanyga
- A. Jajarmi
- A. Jajarmi
- A. Jajarmi
- A. Kosa
- A. Papagiannnopoulos
- A. Phillips
- A. Tayeb
- A.A. Tateishi
- A.D. Baczewski
- A.W. Huang
- B. Babaei
- B. Coleman
- B.H. Zimm
- D. Baleanu
- D. Baleanu
- D. Jaloha
- D. Kumar
- D. Valerio
- E. Vandenberghe
- F. Liu
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Schwartzl
- F.C. Meral
- F.R. Schwarzl
- G.A. Holzapfel
- G.C. Berry
- G.H. Pauluno
- G.R. de Prony
- G.W. Scott-Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- H. Schiessel
- H. Xu
- H.G. Sun
- H.W. Zhou
- J. Ciambella
- J. Ciambella
- J. Enderlein
- J. Fricks
- J. Garbarski
- J. Hristov
- J. Hristov
- J. Lai
- J. Long
- J. Luk-Cyr
- J. Padovan
- J. Schneider
- J. Singh
- J. Singh
- J. Trzmiel
- J.C. Mauro
- J.E. Soussou
- J.F. Gomez-Aguilar
- J.W. Kim
- K. Adolfsson
- K. Laksari
- K.L. Troyer
- L. Boltzmann
- L.W. Morland
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Di Paola
- M. Di Paola
- M. Fukunaga
- M. Fukunaga
- M. Hajipour
- M. Renardy
- M. Sasso
- M. Stiassnie
- M.A.F. dos Santos
- M.D. Ortigueira
- M.L. Williams
- N. Heymans
- N. Ravikumar
- N. Sasaki
- N. Sasaki
- N.B. Wyatt
- N.G. van Kampen
- P. Fajman
- P. Fernandez
- P.E. Rouse jr.
- P.G. Nutting
- P.G. Nutting
- P.H. DeHoff
- R. Bagley
- R. Hilfer
- R. Metzler
- R.A. Crook
- R.A. Schapery
- R.A. Schapery
- R.A. Schapery
- R.C. Koeller
- R.C. Koeller
- R.C. Lin
- R.D. Bradshaw
- R.J. Loy
- R.J. Loy
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.M. Corless
- R.S. Anderssen
- R.S. Lakes
- S. Andre
- S. Bernstein
- S. Das
- S. Holm
- S.H.J. Andrews
- S.P. Nashholm
- S.T. Choi
- S.W. Park
- S.W. Park
- T.M. Atanackovc
- T.M. Atanackovic
- V.E. Tarasov
- V.F. Morales Delgado
- W. Sheng
- W.G. Glockle
- Y. Sun
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Z. Shou
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Mittag-Leffler Functions with Three Parameters
- Author
- A. Buhl
- A. Erdelyi
- A. Erdelyi
- A. Erdelyi
- A. Gemant
- A. Gemant
- A. Gemant
- A. Hanyga
- A. Hanyga
- A. Kilbas
- A. Marchaud
- A. Saichev
- A. Weil
- A. Wiman
- A. Wiman
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.C. McBride
- A.D. Polyanin
- A.I. Shushin
- A.K. GrĂĽnwald
- A.K. Shukla
- A.M. Mathai
- A.M. Mathai
- A.M. Mathai
- A.N. Kochubei
- A.V. Letnikov
- B. Bonilla
- B. Gross
- B. Rubin
- B.J. Davies
- B.J. West
- B.L.J. Braaksma
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.V. Gnedenko
- B.V. Gnedenko
- C. Fox
- C. Fox
- D. Delbosco
- D. Kleinhans
- D. Maravall
- D.O. Cahoy
- D.R. Cox
- D.V. Anosov
- D.V. Widder
- E. Artin
- E. Barkai
- E. Borel
- E. Buckwar
- E. Hille
- E. Phragmén
- E. Phragmén
- E. Scalas
- E.D. Rainville
- E.L. Post
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.W. Barnes
- E.W. Barnes
- E.W. Montroll
- F. Al-Musallam
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Oberhettinger
- F.M. Oliveira Castro de
- G. Doetsch
- G. Gripenberg
- G. Polya
- G.H. Weiss
- G.M. Zaslavsky
- G.W. Scott Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- H. Bremermann
- H. Hilfer
- H. Pollard
- H. Takayasu
- H. Weyl
- H.C. Fogedby
- H.J. Seybold
- H.J. Seybold
- H.M. Srivastava
- H.M. Srivastava
- H.M. Srivastava
- H.T. Davis
- I. Ali
- I. Laine
- I. Podlubny
- I.M. Gel’fand
- I.N. Sneddon
- I.N. Sneddon
- I.S. Gupta
- I.V. Ostrovski
- I.V. Ostrovskii
- J. Boersma
- J. Lamperti
- J. Liouville
- J. Malmquist
- J. Malmquist
- J. Masoliver
- J. Mikusiński
- J. Paneva-Konovska
- J.D. Craig
- J.D.E. Konhauser
- J.G. Brankov
- J.H. Barrett
- J.M. Sanz-Serna
- K. Diethelm
- K. Jayakamur
- K. Nishimoto
- K. Nishimoto
- K. Sato
- K. Weierstrass
- K. Wiener
- K.B. Oldham
- K.S. Cole
- K.S. Cole
- K.S. Miller
- K.S. Miller
- K.S. Miller
- K.S. Miller
- L. Beghin
- L. Blank
- L. Debnath
- L. Pochhammer
- L.B. Klebanov
- L.F. James
- L.I. Ronkin
- L.J. Slater
- L.M. Campos
- M. Abramovitz
- M. Boas
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Fujiwara
- M. Raberto
- M. Riesz
- M. Saigo
- M. Saigo
- M. Stiassnie
- M.-A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.E.J. Newman
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.J. Ablowitz
- M.M. Meerschaert
- M.M. Meerschaert
- M.M. Meerschaert
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- N. Bleistein
- N. Laskin
- N. Laskin
- N. Zheltukhina
- N.H. Abel
- N.H. Bingham
- N.M. Temme
- N.V. Govorov
- N.V. Zhukovskaya
- O. Heaviside
- O.I. Marichev
- O.N. Repin
- P. Butzer
- P. Embrechts
- P. Humbert
- P. Humbert
- P.G. Nutting
- P.G. Nutting
- P.G. Nutting
- P.J. Davis
- P.J. Torvik
- R. Caponetto
- R. Garrappa
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Metzler
- R. Metzler
- R.B. Paris
- R.G. Buschman
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Magin
- R.M. Malakhovskaya
- R.N. Pillai
- R.N. Pillai
- R.P. Agarwal
- R.P. Boas
- R.S. Pathak
- R.S. Pathak
- R.T. Baillie
- S. Bochner
- S. Krantz
- S. Pincherle
- S. Rogosin
- S.G. Samko
- S.I. Meshkov
- S.I. Meshkov
- S.I. Meshkov
- S.M. Ross
- T. Craven
- T.D. Shermergor
- T.J. Bromwich
- T.J.I. Bromwich
- T.M. Mac Robert
- T.R. Prabhakar
- T.S. Aleroev
- T.S. Aleroev
- V. Balakrishnan
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V.A. Ditkin
- V.E. Tarasov
- V.K. Tuan
- V.L. Gonsovski
- V.M. Zelenev
- V.V. Anh
- V.V. Anh
- V.V. Anh
- V.V. Uchaikin
- V.V. Uchaikin
- V.V. Uchaikin
- W. Feller
- W. Rudin
- W.G. Glöckle
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- X. Wang
- X. Wang
- Y.L. Luke
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.N. Rabotnov
- Yu.N. Rabotnov
- É. Roy Le
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Historical Overview of the Mittag-Leffler Functions
- Author
- A. Buhl
- A. Erdelyi
- A. Erdelyi
- A. Erdelyi
- A. Gemant
- A. Gemant
- A. Gemant
- A. Hanyga
- A. Hanyga
- A. Kilbas
- A. Marchaud
- A. Saichev
- A. Weil
- A. Wiman
- A. Wiman
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.C. McBride
- A.D. Polyanin
- A.I. Shushin
- A.K. GrĂĽnwald
- A.K. Shukla
- A.M. Mathai
- A.M. Mathai
- A.M. Mathai
- A.N. Kochubei
- A.V. Letnikov
- B. Bonilla
- B. Gross
- B. Rubin
- B.J. Davies
- B.J. West
- B.L.J. Braaksma
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.V. Gnedenko
- B.V. Gnedenko
- C. Fox
- C. Fox
- D. Delbosco
- D. Kleinhans
- D. Maravall
- D.O. Cahoy
- D.R. Cox
- D.V. Anosov
- D.V. Widder
- E. Artin
- E. Barkai
- E. Borel
- E. Buckwar
- E. Hille
- E. Phragmén
- E. Phragmén
- E. Scalas
- E.D. Rainville
- E.L. Post
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.W. Barnes
- E.W. Barnes
- E.W. Montroll
- F. Al-Musallam
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Oberhettinger
- F.M. Oliveira Castro de
- G. Doetsch
- G. Gripenberg
- G. Polya
- G.H. Weiss
- G.M. Zaslavsky
- G.W. Scott Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- H. Bremermann
- H. Hilfer
- H. Pollard
- H. Takayasu
- H. Weyl
- H.C. Fogedby
- H.J. Seybold
- H.J. Seybold
- H.M. Srivastava
- H.M. Srivastava
- H.M. Srivastava
- H.T. Davis
- I. Ali
- I. Laine
- I. Podlubny
- I.M. Gel’fand
- I.N. Sneddon
- I.N. Sneddon
- I.S. Gupta
- I.V. Ostrovski
- I.V. Ostrovskii
- J. Boersma
- J. Lamperti
- J. Liouville
- J. Malmquist
- J. Malmquist
- J. Masoliver
- J. Mikusiński
- J. Paneva-Konovska
- J.D. Craig
- J.D.E. Konhauser
- J.G. Brankov
- J.H. Barrett
- J.M. Sanz-Serna
- K. Diethelm
- K. Jayakamur
- K. Nishimoto
- K. Nishimoto
- K. Sato
- K. Weierstrass
- K. Wiener
- K.B. Oldham
- K.S. Cole
- K.S. Cole
- K.S. Miller
- K.S. Miller
- K.S. Miller
- K.S. Miller
- L. Beghin
- L. Blank
- L. Debnath
- L. Pochhammer
- L.B. Klebanov
- L.F. James
- L.I. Ronkin
- L.J. Slater
- L.M. Campos
- M. Abramovitz
- M. Boas
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Fujiwara
- M. Raberto
- M. Riesz
- M. Saigo
- M. Saigo
- M. Stiassnie
- M.-A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.E.J. Newman
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.J. Ablowitz
- M.M. Meerschaert
- M.M. Meerschaert
- M.M. Meerschaert
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- N. Bleistein
- N. Laskin
- N. Laskin
- N. Zheltukhina
- N.H. Abel
- N.H. Bingham
- N.M. Temme
- N.V. Govorov
- N.V. Zhukovskaya
- O. Heaviside
- O.I. Marichev
- O.N. Repin
- P. Butzer
- P. Embrechts
- P. Humbert
- P. Humbert
- P.G. Nutting
- P.G. Nutting
- P.G. Nutting
- P.J. Davis
- P.J. Torvik
- R. Caponetto
- R. Garrappa
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Metzler
- R. Metzler
- R.B. Paris
- R.G. Buschman
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Magin
- R.M. Malakhovskaya
- R.N. Pillai
- R.N. Pillai
- R.P. Agarwal
- R.P. Boas
- R.S. Pathak
- R.S. Pathak
- R.T. Baillie
- S. Bochner
- S. Krantz
- S. Pincherle
- S. Rogosin
- S.G. Samko
- S.I. Meshkov
- S.I. Meshkov
- S.I. Meshkov
- S.M. Ross
- T. Craven
- T.D. Shermergor
- T.J. Bromwich
- T.J.I. Bromwich
- T.M. Mac Robert
- T.R. Prabhakar
- T.S. Aleroev
- T.S. Aleroev
- V. Balakrishnan
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V.A. Ditkin
- V.E. Tarasov
- V.K. Tuan
- V.L. Gonsovski
- V.M. Zelenev
- V.V. Anh
- V.V. Anh
- V.V. Anh
- V.V. Uchaikin
- V.V. Uchaikin
- V.V. Uchaikin
- W. Feller
- W. Rudin
- W.G. Glöckle
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- X. Wang
- X. Wang
- Y.L. Luke
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.N. Rabotnov
- Yu.N. Rabotnov
- É. Roy Le
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Applications to Stochastic Models
- Author
- A. Buhl
- A. Erdelyi
- A. Erdelyi
- A. Erdelyi
- A. Gemant
- A. Gemant
- A. Gemant
- A. Hanyga
- A. Hanyga
- A. Kilbas
- A. Marchaud
- A. Saichev
- A. Weil
- A. Wiman
- A. Wiman
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.C. McBride
- A.D. Polyanin
- A.I. Shushin
- A.K. GrĂĽnwald
- A.K. Shukla
- A.M. Mathai
- A.M. Mathai
- A.M. Mathai
- A.N. Kochubei
- A.V. Letnikov
- B. Bonilla
- B. Gross
- B. Rubin
- B.J. Davies
- B.J. West
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.V. Gnedenko
- B.V. Gnedenko
- C. Fox
- C. Fox
- D. Delbosco
- D. Kleinhans
- D. Maravall
- D.O. Cahoy
- D.R. Cox
- D.V. Anosov
- D.V. Widder
- E. Artin
- E. Barkai
- E. Borel
- E. Buckwar
- E. Hille
- E. Phragmén
- E. Phragmén
- E. Scalas
- E.D. Rainville
- E.L. Post
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.W. Barnes
- E.W. Barnes
- E.W. Montroll
- F. Al-Musallam
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Oberhettinger
- F.M. Oliveira Castro de
- G. Doetsch
- G. Gripenberg
- G. Polya
- G.H. Weiss
- G.M. Zaslavsky
- G.W. Scott Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- H. Bremermann
- H. Hilfer
- H. Pollard
- H. Takayasu
- H. Weyl
- H.C. Fogedby
- H.J. Seybold
- H.J. Seybold
- H.M. Srivastava
- H.M. Srivastava
- H.M. Srivastava
- H.T. Davis
- I. Ali
- I. Laine
- I. Podlubny
- I.M. Gel’fand
- I.N. Sneddon
- I.N. Sneddon
- I.S. Gupta
- I.V. Ostrovski
- I.V. Ostrovskii
- J. Boersma
- J. Lamperti
- J. Liouville
- J. Malmquist
- J. Malmquist
- J. Masoliver
- J. Mikusiński
- J. Paneva-Konovska
- J.D. Craig
- J.D.E. Konhauser
- J.G. Brankov
- J.H. Barrett
- J.M. Sanz-Serna
- K. Diethelm
- K. Jayakamur
- K. Nishimoto
- K. Nishimoto
- K. Sato
- K. Weierstrass
- K. Wiener
- K.B. Oldham
- K.S. Cole
- K.S. Cole
- K.S. Miller
- K.S. Miller
- K.S. Miller
- K.S. Miller
- L. Beghin
- L. Blank
- L. Debnath
- L. Pochhammer
- L.B. Klebanov
- L.F. James
- L.I. Ronkin
- L.J. Slater
- L.M. Campos
- M. Abramovitz
- M. Boas
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Fujiwara
- M. Raberto
- M. Riesz
- M. Saigo
- M. Saigo
- M. Stiassnie
- M.-A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.E.J. Newman
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.J. Ablowitz
- M.M. Meerschaert
- M.M. Meerschaert
- M.M. Meerschaert
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- N. Bleistein
- N. Laskin
- N. Laskin
- N. Zheltukhina
- N.H. Abel
- N.H. Bingham
- N.M. Temme
- N.V. Govorov
- N.V. Zhukovskaya
- O. Heaviside
- O.I. Marichev
- O.N. Repin
- P. Butzer
- P. Embrechts
- P. Humbert
- P. Humbert
- P.G. Nutting
- P.G. Nutting
- P.G. Nutting
- P.J. Davis
- P.J. Torvik
- R. Caponetto
- R. Garrappa
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Metzler
- R. Metzler
- R.B. Paris
- R.G. Buschman
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Magin
- R.M. Malakhovskaya
- R.N. Pillai
- R.N. Pillai
- R.P. Agarwal
- R.P. Boas
- R.S. Pathak
- R.T. Baillie
- S. Bochner
- S. Krantz
- S. Pincherle
- S. Rogosin
- S.G. Samko
- S.I. Meshkov
- S.I. Meshkov
- S.I. Meshkov
- S.M. Ross
- T. Craven
- T.D. Shermergor
- T.J. Bromwich
- T.J.I. Bromwich
- T.M. Mac Robert
- T.R. Prabhakar
- T.S. Aleroev
- T.S. Aleroev
- V. Balakrishnan
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V.A. Ditkin
- V.E. Tarasov
- V.K. Tuan
- V.L. Gonsovski
- V.M. Zelenev
- V.V. Anh
- V.V. Anh
- V.V. Anh
- V.V. Uchaikin
- V.V. Uchaikin
- V.V. Uchaikin
- W. Feller
- W. Rudin
- W.G. Glöckle
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- X. Wang
- X. Wang
- Y.L. Luke
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.N. Rabotnov
- Yu.N. Rabotnov
- É. Roy Le
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
The Two-Parametric Mittag-Leffler Function
- Author
- A. Buhl
- A. Erdelyi
- A. Erdelyi
- A. Erdelyi
- A. Gemant
- A. Gemant
- A. Gemant
- A. Hanyga
- A. Hanyga
- A. Kilbas
- A. Marchaud
- A. Saichev
- A. Weil
- A. Wiman
- A. Wiman
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.C. McBride
- A.D. Polyanin
- A.I. Shushin
- A.K. GrĂĽnwald
- A.K. Shukla
- A.M. Mathai
- A.M. Mathai
- A.M. Mathai
- A.N. Kochubei
- A.V. Letnikov
- B. Bonilla
- B. Gross
- B. Rubin
- B.J. Davies
- B.J. West
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.V. Gnedenko
- B.V. Gnedenko
- C. Fox
- C. Fox
- D. Delbosco
- D. Kleinhans
- D. Maravall
- D.O. Cahoy
- D.R. Cox
- D.V. Anosov
- D.V. Widder
- E. Artin
- E. Barkai
- E. Borel
- E. Buckwar
- E. Hille
- E. Phragmén
- E. Scalas
- E.D. Rainville
- E.L. Post
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.W. Barnes
- E.W. Barnes
- E.W. Montroll
- F. Al-Musallam
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Oberhettinger
- F.M. Oliveira Castro de
- G. Doetsch
- G. Gripenberg
- G. Polya
- G.H. Weiss
- G.M. Zaslavsky
- G.W. Scott Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- H. Bremermann
- H. Hilfer
- H. Pollard
- H. Takayasu
- H. Weyl
- H.C. Fogedby
- H.J. Seybold
- H.J. Seybold
- H.M. Srivastava
- H.M. Srivastava
- H.M. Srivastava
- H.T. Davis
- I. Ali
- I. Laine
- I. Podlubny
- I.M. Gel’fand
- I.N. Sneddon
- I.N. Sneddon
- I.S. Gupta
- I.V. Ostrovski
- I.V. Ostrovskii
- J. Boersma
- J. Lamperti
- J. Liouville
- J. Malmquist
- J. Malmquist
- J. Masoliver
- J. Mikusiński
- J. Paneva-Konovska
- J.D. Craig
- J.D.E. Konhauser
- J.G. Brankov
- J.H. Barrett
- J.M. Sanz-Serna
- K. Diethelm
- K. Jayakamur
- K. Nishimoto
- K. Nishimoto
- K. Sato
- K. Weierstrass
- K. Wiener
- K.B. Oldham
- K.S. Cole
- K.S. Cole
- K.S. Miller
- K.S. Miller
- K.S. Miller
- K.S. Miller
- L. Beghin
- L. Blank
- L. Debnath
- L. Pochhammer
- L.B. Klebanov
- L.F. James
- L.I. Ronkin
- L.J. Slater
- L.M. Campos
- M. Abramovitz
- M. Boas
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Fujiwara
- M. Raberto
- M. Riesz
- M. Saigo
- M. Saigo
- M. Stiassnie
- M.-A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.E.J. Newman
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.J. Ablowitz
- M.M. Meerschaert
- M.M. Meerschaert
- M.M. Meerschaert
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- N. Bleistein
- N. Laskin
- N. Laskin
- N. Zheltukhina
- N.H. Abel
- N.H. Bingham
- N.M. Temme
- N.V. Govorov
- N.V. Zhukovskaya
- O. Heaviside
- O.I. Marichev
- O.N. Repin
- P. Butzer
- P. Embrechts
- P. Humbert
- P. Humbert
- P.G. Nutting
- P.G. Nutting
- P.G. Nutting
- P.J. Davis
- P.J. Torvik
- R. Caponetto
- R. Garrappa
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Metzler
- R. Metzler
- R.B. Paris
- R.G. Buschman
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Magin
- R.M. Malakhovskaya
- R.N. Pillai
- R.N. Pillai
- R.P. Agarwal
- R.P. Boas
- R.S. Pathak
- R.T. Baillie
- S. Bochner
- S. Krantz
- S. Pincherle
- S. Rogosin
- S.G. Samko
- S.I. Meshkov
- S.I. Meshkov
- S.I. Meshkov
- S.M. Ross
- T. Craven
- T.D. Shermergor
- T.J. Bromwich
- T.J.I. Bromwich
- T.M. Mac Robert
- T.R. Prabhakar
- T.S. Aleroev
- T.S. Aleroev
- V. Balakrishnan
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V.A. Ditkin
- V.E. Tarasov
- V.K. Tuan
- V.L. Gonsovski
- V.M. Zelenev
- V.V. Anh
- V.V. Anh
- V.V. Anh
- V.V. Uchaikin
- V.V. Uchaikin
- V.V. Uchaikin
- W. Feller
- W. Rudin
- W.G. Glöckle
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- X. Wang
- X. Wang
- Y.L. Luke
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.N. Rabotnov
- Yu.N. Rabotnov
- É. Roy Le
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Introduction
- Author
- A. Buhl
- A. Erdelyi
- A. Erdelyi
- A. Erdelyi
- A. Gemant
- A. Gemant
- A. Gemant
- A. Hanyga
- A. Hanyga
- A. Kilbas
- A. Marchaud
- A. Saichev
- A. Weil
- A. Wiman
- A. Wiman
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.A. Kilbas
- A.C. McBride
- A.D. Polyanin
- A.I. Shushin
- A.K. GrĂĽnwald
- A.K. Shukla
- A.M. Mathai
- A.M. Mathai
- A.M. Mathai
- A.N. Kochubei
- A.V. Letnikov
- B. Bonilla
- B. Gross
- B. Rubin
- B.J. Davies
- B.J. West
- B.L.J. Braaksma
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.N. Al Saqabi
- B.V. Gnedenko
- B.V. Gnedenko
- C. Fox
- C. Fox
- D. Delbosco
- D. Kleinhans
- D. Maravall
- D.O. Cahoy
- D.R. Cox
- D.V. Anosov
- D.V. Widder
- E. Artin
- E. Barkai
- E. Borel
- E. Buckwar
- E. Hille
- E. Phragmén
- E. Phragmén
- E. Scalas
- E.D. Rainville
- E.L. Post
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.M. Wright
- E.W. Barnes
- E.W. Barnes
- E.W. Montroll
- F. Al-Musallam
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Mainardi
- F. Oberhettinger
- F.M. Oliveira Castro de
- G. Doetsch
- G. Gripenberg
- G. Polya
- G.H. Weiss
- G.M. Zaslavsky
- G.W. Scott Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- G.W. Scott-Blair
- H. Bremermann
- H. Hilfer
- H. Pollard
- H. Takayasu
- H. Weyl
- H.C. Fogedby
- H.J. Seybold
- H.J. Seybold
- H.M. Srivastava
- H.M. Srivastava
- H.M. Srivastava
- H.T. Davis
- I. Ali
- I. Laine
- I. Podlubny
- I.M. Gel’fand
- I.N. Sneddon
- I.N. Sneddon
- I.S. Gupta
- I.V. Ostrovski
- I.V. Ostrovskii
- J. Boersma
- J. Lamperti
- J. Liouville
- J. Malmquist
- J. Malmquist
- J. Masoliver
- J. Mikusiński
- J. Paneva-Konovska
- J.D. Craig
- J.D.E. Konhauser
- J.G. Brankov
- J.H. Barrett
- J.M. Sanz-Serna
- K. Diethelm
- K. Jayakamur
- K. Nishimoto
- K. Nishimoto
- K. Sato
- K. Weierstrass
- K. Wiener
- K.B. Oldham
- K.S. Cole
- K.S. Cole
- K.S. Miller
- K.S. Miller
- K.S. Miller
- K.S. Miller
- L. Beghin
- L. Blank
- L. Debnath
- L. Pochhammer
- L.B. Klebanov
- L.F. James
- L.I. Ronkin
- L.J. Slater
- L.M. Campos
- M. Abramovitz
- M. Boas
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Caputo
- M. Fujiwara
- M. Raberto
- M. Riesz
- M. Saigo
- M. Saigo
- M. Stiassnie
- M.-A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.A. Al-Bassam
- M.E.J. Newman
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.G. Mittag-Leffler
- M.J. Ablowitz
- M.M. Meerschaert
- M.M. Meerschaert
- M.M. Meerschaert
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- M.N. Berberan-Santos
- N. Bleistein
- N. Laskin
- N. Laskin
- N. Zheltukhina
- N.H. Abel
- N.H. Bingham
- N.M. Temme
- N.V. Govorov
- N.V. Zhukovskaya
- O. Heaviside
- O.I. Marichev
- O.N. Repin
- P. Butzer
- P. Embrechts
- P. Humbert
- P. Humbert
- P.G. Nutting
- P.G. Nutting
- P.G. Nutting
- P.J. Davis
- P.J. Torvik
- R. Caponetto
- R. Garrappa
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Gorenflo
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Hilfer
- R. Metzler
- R. Metzler
- R.B. Paris
- R.G. Buschman
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.K. Saxena
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Bagley
- R.L. Magin
- R.M. Malakhovskaya
- R.N. Pillai
- R.N. Pillai
- R.P. Agarwal
- R.P. Boas
- R.S. Pathak
- R.S. Pathak
- R.T. Baillie
- S. Bochner
- S. Krantz
- S. Pincherle
- S. Rogosin
- S.G. Samko
- S.I. Meshkov
- S.I. Meshkov
- S.I. Meshkov
- S.M. Ross
- T. Craven
- T.D. Shermergor
- T.J. Bromwich
- T.J.I. Bromwich
- T.M. Mac Robert
- T.R. Prabhakar
- T.S. Aleroev
- T.S. Aleroev
- V. Balakrishnan
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V. Kiryakova
- V.A. Ditkin
- V.E. Tarasov
- V.K. Tuan
- V.L. Gonsovski
- V.M. Zelenev
- V.V. Anh
- V.V. Anh
- V.V. Anh
- V.V. Uchaikin
- V.V. Uchaikin
- V.V. Uchaikin
- W. Feller
- W. Rudin
- W.G. Glöckle
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- W.R. Schneider
- X. Wang
- X. Wang
- Y.L. Luke
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu. Luchko
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.A. Rossikhin
- Yu.N. Rabotnov
- Yu.N. Rabotnov
- É. Roy Le
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study