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arXiv · 1505.07134

New Laplace transforms for the generalized hypergeometric functions 2F2 and 3F3

Xiaoxia Wang·Arjun K. Rathie
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Abstract

Motivated by the new Laplace transforms for the Kummer's confluent hypergeometric functions $_1F_1$ obtained recently by Kim et al. [Math $\&$ Comput. Modelling, 55 (2012), pp. 1068--1071], the authors aim is to establish so far unknown Laplace transforms of rather general case of generalized hypergeometric functions $_2F_2(x)$ and $_3F_3(x)$ by employing extensions of classical summation theorems for the series $_2F_1$ and $_3F_2$ obtained recently by Kim et al. [Int. J. Math. Math. Sci., 309503, 26 pages, 2010]. Certain known results obtained earlier by Kim et al. follow cases of our main findings.

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Xiaoxia Wang, Arjun K. Rathie. 2015-05-19. New Laplace transforms for the generalized hypergeometric functions 2F2 and 3F3. https://arxiv.org/abs/1505.07134

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