Wright Type Hypergeometric Function and Its Properties
Wright Type Hypergeometric Function and Its Properties作者机构：Department of Applied Mathematics and Humenities S.V. National Institute of Technology Surat India Department of Applied Mathematics The M.S. University of Baroda Vadodara India Department of Mathematical Sciences Faculty of Applied Sciences Charotar University of Science and Technology Anand India
出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)
年 卷 期：2013年第3卷第3期
页 面：335-342页
主 题：Euler Transform Fox H-Function Wright Type Hypergeometric Function Laplace Transform Mellin Transform Whittaker Transform Wright Hypergeometric Function
摘 要：Let s and z be complex variables, Γ(s) be the Gamma function, and for any complex v be the generalized Pochhammer symbol. Wright Type Hypergeometric Function is defined (Virchenko et al. [1]), as: where which is a direct generalization of classical Gauss Hypergeometric Function 2F1(a,b;c;z). The principal aim of this paper is to study the various properties of this Wright type hypergeometric function 2R1(a,b;c;τ;z);which includes differentiation and integration, representation in terms of pFq and in terms of Mellin-Barnes type integral. Euler (Beta) transforms, Laplace transform, Mellin transform, Whittaker transform have also been obtained;along with its relationship with Fox H-function and Wright hypergeometric function.
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