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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