NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 2F2

• Journal title : Honam Mathematical Journal
• Volume 37, Issue 2,  2015, pp.245-252
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2015.37.2.245
Title & Authors
NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 2F2
KIM, YONG SUP; RATHIE, ARJUN K.; LEE, CHANG HYUN;

Abstract
This paper is in continuation of the paper very recently published [New Laplace transforms of Kummer's confluent hypergeometric functions, Math. Comp. Modelling, 55 (2012), 1068-1071]. In this paper, our main objective is to show one can obtain so far unknown Laplace transforms of three rather general cases of generalized hypergeometric function $\small{_2F_2(x)}$ by employing generalized Watson's, Dixon's and Whipple's summation theorems for the series $\small{_3F_2}$ obtained earlier in a series of three research papers by Lavoie et al. [5, 6, 7]. The results established in this paper may be useful in theoretical physics, engineering and mathematics.
Keywords
Confluent hypergeometric function;Laplace transform;Gauss's summation theorem;Kummer's summation theorem;
Language
English
Cited by
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