7 research outputs found
Explicit forms for three integrals in Wand et al.
We derive explicit forms for the three integrals used in Kim and Wand [3] and
Wand, Ormerody, Padoan and Fr¨uhwirth [7]. The explicit forms involve known special
functions for which in-built routines are available
Integral Representations of Functional Series with Members Containing Jacobi Polynomials
MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi polynomials
Integral expressions for Hilbert-type infinite multilinear form and related multiple Hurwitz-Lerch Zeta functions
The article deals with different kinds integral expressions concerning multiple Hurwitz-Lerch Zeta function (introduced originally by Barnes ), Hilbert-type infinite multilinear form and its power series extension. Here Laplace integral forms and multiple Mellin-Barnes type integral representation are derived for these special functions. As a special cases of our investigations we deduce the integral expressions for the Matsumoto's multiple Mordell-Tornheim Zeta function, that is, for Tornheim's double sum i.e. Mordell-Witten Zeta, for the multiple Hurwitz Zeta and for the multiple Hurwitz-Euler Eta function, recently studied by Choi and Srivastava
On the multidimensional sampling theorem
The well known sampling theorem is extended to the multidimensional weakly stationary (but not necessarily band-limited) processes. The mean square and almost sure convergence of the sampling expansion sum is derived for full spectrum multidimensional processes
Univalence criteria for linear fractional differential operators associated with a generalized Bessel function
In this paper our aim is to establish some generalizations upon the sufficient conditions for linear fractional differential operators involving the normalized forms of the generalized Bessel functions of the first kind to be univalent in the open unit disk as investigated recently by [{sc E. Deniz, H. Orhan, H.M. Srivastava}, {it Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions}, Taiwanese J. Math. {bf 15} (2011), No. 2, 883-917] and [{sc \u27A. Baricz, B. Frasin}, {it Univalence of integral operators involving Bessel functions}, Appl. Math. Letters {bf 23} (2010), No. 4, 371--376]. Our method uses certain Luke\u27s bounding inequalities for hypergeometric functions and
Second Type Neumann Series Related to Nicholsonâs and to DixonâFerrar Formula
The second type Neumann series are considered which building blocks are Nicholsonâs and the DixonâFerrar formulae for (Formula Presented). Related closed form double definite integral expressions are established by using the associated Dirichletâs series Cahenâs Laplace integral for the Nicholsonâs case. However, using DixonâFerrar formula a double definite integral expression is again obtained. Certain Open Problems are posed in the last section of the chapter
Solstice: An Electronic Journal of Geography and Mathematics, Volume XXIII, Number 2
Interactive cover for Volume XXIII, No. 2 and associated archived materials.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/1/SolsticeVol23No2_Mail.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/2/SolsticeVol23No2_Archive.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/4/2012MeridianSailing04.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/5/A Short Note.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/6/QRcover.gifhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/7/anivarroa2011.psdhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/8/Figure2cAni.psdhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/9/Figure2cAni.gifhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/10/anivarroa2011.gifhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/11/AniIMaGe.gifhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/12/AniIMaGe.gifhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/21/ArlinghausAndArlinghaus.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/22/Sammataro.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/23/ArlinghausQRtransformation.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/24/ArlinghausQRalteration.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/94573/29/SolsticeVolXXIIINo2.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/94573/31/TreeInventoryJuly2012.kmzDescription of SolsticeVol23No2_Mail.pdf : Document transmitted to distribution list, December 21, 2012.Description of 2012MeridianSailing04.pdf : PDF of Pogany and Kos articleDescription of ArlinghausAndArlinghaus.pdf : PDF of Arlinghaus and Arlinghaus articleDescription of A Short Note.pdf : PDF of Tobler noteDescription of Sammataro.pdf : PDF of Sammataro article; see associated animationDescription of anivarroa2011.gif : Animated Varroa map, current as of 2011Description of ArlinghausQRtransformation.pdf : PDF of Arlinghaus, QR code transformations, see associated animationDescription of Figure2cAni.gif : Animation for QR transformation articleDescription of ArlinghausQRalteration.pdf : PDF of Arlinghaus, QR code alteration; see associated animationDescription of SolsticeVolXXIIINo2.pdf : Solstice, 2012, Number 2. Contains attachments.Description of SolsticeVol23No2_Archive.pdf : Full journal, without animationsDescription of QRcover.gif : Animated Solstice cover artDescription of AniIMaGe.gif : Animated Solstice cover art; also, animation for Arlinghaus, QR Code Alteration.Description of TreeInventoryJuly2012.kmz : kmz file referenced in articl