An Extension of the Mittag-Leffler Function and Its Associated Properties
Advances in Mathematical Physics, 2020 Inspired by certain fascinating ongoing extensions of the special functions such as an extension of the Pochhammer symbol and generalized hypergeometric function, we present a new extension of the generalized Mittag-Leffler (ML) function εa,b;p,vκz1 in ...
Gauhar Rahman +4 more
doaj +1 more source
Convergence Aspects for Generalizations of q-Hypergeometric Functions [PDF]
Axioms, 2015 In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric functions of 2n variables. The aim of the present article is to find convergence regions and a few conjectures of convergence regions for these functions based on a vector version of the Nova q-addition. These convergence regions are given in a purely formal way,
openaire +4 more sources
Quadratic transformation inequalities for Gaussian hypergeometric function
Journal of Inequalities and Applications, 2018 In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.
Tie-Hong Zhao +3 more
doaj +1 more source
A Study of the S-Generalized Gauss Hypergeometric Function and Its Associated Integral Transforms
, 2015 The aim of the present paper is to further investigate the S-generalized Gauss hypergeometric function which was recently introduced by Srivastava et al. [8].
H. Srivastava, R. Jain, M. K. Bansal
semanticscholar +1 more source
Weighted hypergeometric functions and fractional derivative
Advances in Difference Equations, 2017 We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator ...
JE Restrepo +3 more
doaj +1 more source
Generalized Brézin–Gross–Witten tau-function as a hypergeometric solution of the BKP hierarchy [PDF]
Advances in Mathematics, 2021 A. Alexandrov
semanticscholar +1 more source
Connection Matrices Associated with the Generalized Hypergeometric Function 3F2
, 2008 Connection matrices associated with the generalized hypergeometric function 3F2 are determined. Our approach is based on the integral representation, and the theory of twisted homology groups (homology with coefficients in local system). We also consider
K. Mimachi
semanticscholar +1 more source
Generating Functions for k-Hypergeometric Functions [PDF]
International Journal of Applied Physics and Mathematics, 2019 Düzgün, Düriye, Erkuş-Duman, Esra
openaire +3 more sources
Two dimensional Laplace transforms of generalized hypergeometric functions [PDF]
, 1988 R. S. Dahiya, I. H. Jowhar
openalex +1 more source
ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS
Issues of Analysis, 2018 We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous differential equations.
openaire +3 more sources