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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.25 No.1

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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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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 <sub>3</sub>F<sub>3</sub>. , 25(1), 7-16, https://doi.org/10.7468/jksmeb.2018.25.1.7

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>

한국수학교육학회지시리즈B:순수및응용수학

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