INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HA

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 1,  2012, pp.113-124
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.1.113
Title & Authors
INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HA
Choi, June-Sang; Hasanov, Anvar; Turaev, Mamasali;

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 $\small{H_A}$, $\small{H_B}$ and $\small{H_C}$. Each of these three triple hypergeometric functions $\small{H_A}$, $\small{H_B}$ and $\small{H_C}$ 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 $\small{H_A}$.
Keywords
Multiple hypergeometric functions;Gauss hypergeometric function $\small{_2F_1}$;Confluent hypergeometric functions;Eulerian integrals;Laplace integrals;Srivastava's triple hypergeometric function $\small{H_A}$;Exton's functions;Humbert functions;Bessel functions;Beta and Gamma functions;Appell functions;Picard's integral formula;
Language
English
Cited by
1.
INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HC,;;;

호남수학학술지, 2012. vol.34. 4, pp.473-482
1.
INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HC, Honam Mathematical Journal, 2012, 34, 4, 473
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