NEW LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION _{2}F_{2}

- 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 _{2}F_{2}

KIM, YONG SUP; RATHIE, ARJUN K.; LEE, CHANG HYUN;

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 by employing generalized Watson's, Dixon's and Whipple's summation theorems for the series 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

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