INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HB

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2012, v.19 no.2, pp.137-145

https://doi.org/10.7468/jksmeb.2012.19.2.137

Choi, June-Sang (Department of Mathematics, Dongguk University)
Hasanov, Anvar (Department of Mathematics, I. M. Gubkin Russian State University of Oil and Gas)
Turaev, Mamasali (Department of Mathematics, Dongguk University)

Choi, June-Sang, Hasanov, Anvar, & Turaev, Mamasali. (2012). INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H<sub>B</sub>. 한국수학교육학회지시리즈B:순수및응용수학, 19(2), 137-145, https://doi.org/10.7468/jksmeb.2012.19.2.137

복사

Abstract

While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeometric series of the second order, which were denoted by <TEX>$H_A$</TEX>, <TEX>$H_B$</TEX> and <TEX>$H_C$</TEX>. Each of these three triple hypergeometric functions <TEX>$H_A$</TEX>, <TEX>$H_B$</TEX> and <TEX>$H_C$</TEX> has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function <TEX>$H_B$</TEX>.

keywords: multiple hypergeometric functions, Gauss hypergeometric function <tex> $_2F_1$</tex>, confluent hypergeometric functions, Eulerian integrals, Laplace integrals, Srivastava's triple hypergeometric function <tex> $H_B$</tex>, Exton's functions, Humbert functions, Bessel functions, beta and gamma functions, Appell functions, Picard's integral formula

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Vol.19 No.2

INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H<sub>B</sub>

INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HB

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학