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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.25 No.1

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Jun, Sungtae
Kim,, I. , & Jun,, S. (2018). A NOTE ON CERTAIN LAPLACE TRANSFORMS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION 3F3. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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>

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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