A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 3F3

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2018, v.25 no.1, pp.7-16

https://doi.org/10.7468/jksmeb.2018.25.1.7

Kim, Insuk (Department of Mathematics Education, Wonkwang University)
Jun, Sungtae (General education Institute, Konkuk University)

Kim, Insuk, & Jun, Sungtae. (2018). A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 3F3. 한국수학교육학회지시리즈B:순수및응용수학, 25(1), 7-16, https://doi.org/10.7468/jksmeb.2018.25.1.7

복사

Abstract

The main objective of this paper is to demonstrate how one can obtain very quickly so far unknown Laplace transforms of rather general cases of the generalized hypergeometric function <TEX>$_3F_3$</TEX> by employing generalizations of classical summation theorems for the series <TEX>$_3F_2$</TEX> available in the literature. Several new as well known results obtained earlier by Kim et al. follow special cases of main findings.

keywords: hypergeometric functions, classical summation theorems, integral representation for <tex> $_2F_1$</tex>

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논문 상세

Vol.25 No.1

A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION <sub>3</sub>F<sub>3</sub>

A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 3F3

Abstract

한국수학교육학회지시리즈B:순수및응용수학