APPLICATION OF THE OPERATOR H (α, β) TO THE SARAN FUNCTION FE AND SOME OTHER RESULTS

• Journal title : Honam Mathematical Journal
• Volume 33, Issue 4,  2011, pp.441-452
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2011.33.4.441
Title & Authors
APPLICATION OF THE OPERATOR H (α, β) TO THE SARAN FUNCTION FE AND SOME OTHER RESULTS
Choi, June-Sang; Kim, Yong-Sup; Hasanov, Anvar;

Abstract
The enormous success of the theory of hypergeometric series in a single variable has stimulated the development of a corresponding theory in two and more variables. A wide variety of investigations in the theory of several variable hypergeometric functions have been essentially motivated by the fact that solutions of many applied problems involving partial differential equations are obtainable with the help of such hypergeometric functions. Here, in this trend, we aim at presenting further decomposition formulas for Saran function $\small{F_E}$, which are used to give some integral representations of the function $\small{F_E}$. We also present a system of partial differential equations for the Saran function $\small{F_E}$.
Keywords
Decomposition formulas;Saran hypergeometric functions;Multiple hypergeometric functions;Inverse pairs of symbolic operators;Integral representations;Partial differential equations;
Language
English
Cited by
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