H_A^(τ_1,τ_2,τ_3 ) A Srivastava Hypergeometric Function

Year 2018, Volume: 6 Issue: 2, 1 - 9, 31.10.2018

Recep Şahin Oğuz Yağcı

Abstract

Formulas and identities involving many well known special functions (such as the Gamma and Beta functions, Gauss hypergeometric function, and so on) play important roles in themselves and their diverse applications. In this paper, we will add τ1, τ2, τ3 parameters to the HA Srivastava hypergeometric function and we introduce new H τ1,τ2,τ3 A Srivastava’s triple τ -hypergeometric function. Then, we present some properties of the H τ1,τ2,τ3 A Srivastava’s triple τ -hypergeometric function In this paper, N, Z −, and C denote the sets of positive integers, negative integers, complex numbers, respectively. Also, N0 and Z  represent the sets of positive integers and complex numbers by excluding origin, respectively. N0 := N ∪ {0} and Z − 0:= Z − ∪ {0} . The classical Gamma function Γ(x) is defined by [13, 16, 17, 19, 20

Keywords

Srivastava hypergeometric funtion, integral representation, derivative formula

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