2,094 research outputs found

    Certain Subclasses Of Harmonic Starlike Functions Associated With q-Analouge Of Ruscheweyh Operator

    Get PDF
    In this work, we introduce and study a subclass of harmonic uniformly β - starlike functions defined by q-analogue of Ruscheweyh derivative operator. Coefficient bounds, extreme points, distortion bounds, convolution conditions and convex combination are determined for functions in this class. Also, properties of the class preserving under. The generalized Bernardi-Libera –Livingston integral operator and the q-Jackson integral operator are discussed. Furthermore, many of our results are either extensions or new approaches to those corresponding to previously known results

    Certain Subclasses Of Meromorphic Functions With Fixed Second Coefficients Associated With Generalized Polylogarithm Functions

    Get PDF
    In this paper we introduce and study a subclass GP (α, λ, μ, κ, c) of meromorphic univalent functions which is associated with generalized polylogarithm functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class GP (α, λ, μ, κ, c) by fixing the second coefficient. Further, it is shown that the class GP (α, λ, μ, κ, c) is closed under convex linear combination

    Foundation Problems in a Developing City

    Get PDF
    Foundation problems are normally associated with type of sub strata, soil, rock or any other foreign material\u27 met with, and/or if choice of foundation is not compatible with them. In developing cities, the development stress is on highly developed congested areas, limiting the sub soil investigation, and plans to have high rise buildings, requiring deep foundations and sometimes execution of these posing site problems. The collapse of a multi-storeyed structure caused, according to geotechnical engineers due to overlooking the existence of a drain and a few cases of composite foundations are described

    Transformations of q-boson and q-fermion algebras

    Get PDF
    We investigate the algebras satisfied by q-deformed boson and fermion oscillators, in particular the transformations of the algebra from one form to another. Based on a specific algebra proposed in recent literature, we show that the algebra of deformed fermions can be transformed to that of undeformed standard fermions. Furthermore we also show that the algebra of q-deformed fermions can be transformed to that of undeformed standard bosons.Comment: 7 pages, RevTe

    Properties On A New Comprehensive Family Of Holomorphic Functions Associated With Ruscheweyh Derivative and Generalized Multiplier Transformations

    Get PDF
    In the present paper, a new comprehensive family of holomorphic functions, which includes various new subfamilies of holomorphic functions as well as some very well-known ones, is introduced. Sharp results concerning coefficient inequalities and distortion bounds of functions belonging to these families are determined. Furthermore, functions with negative coefficients belonging to these families are also investigated

    No Eigenvalue in Finite Quantum Electrodynamics

    Get PDF
    We re-examine Quantum Electrodynamics (QED) with massless electron as a finite quantum field theory as advocated by Gell-Mann-Low, Baker-Johnson, Adler, Jackiw and others. We analyze the Dyson-Schwinger equation satisfied by the massless electron in finite QED and conclude that the theory admits no nontrivial eigenvalue for the fine structure constant.Comment: 13 pages, Late
    corecore