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http://dx.doi.org/10.7468/jksmeb.2012.19.2.137

INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HB  

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)
Publication Information
The Pure and Applied Mathematics / v.19, no.2, 2012 , pp. 137-145 More about this Journal
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 $H_A$, $H_B$ and $H_C$. Each of these three triple hypergeometric functions $H_A$, $H_B$ and $H_C$ 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 $H_B$.
Keywords
multiple hypergeometric functions; Gauss hypergeometric function $_2F_1$; confluent hypergeometric functions; Eulerian integrals; Laplace integrals; Srivastava's triple hypergeometric function $H_B$; Exton's functions; Humbert functions; Bessel functions; beta and gamma functions; Appell functions; Picard's integral formula;
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