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

FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS FE AND F

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
2012, v.19 no.1, pp.43-57
https://doi.org/10.7468/jksmeb.2012.19.1.43
Kim, Yong-Sup
Hasanov, Anvar

Abstract

By simply splitting the hypergeometric Saran function <TEX>$F_E$</TEX> into eight parts, we show how some useful and generalized relations between <TEX>$F_E$</TEX> and Srivas- tava's hypergeometric function <TEX>$F^{(3)}$</TEX> can be obtained. These main results are shown to be specialized to yield certain relations between functions <TEX>$_0F_1$</TEX>, <TEX>$_1F_1$</TEX>, <TEX>$_0F_3$</TEX>, <TEX>${\Psi}_2$</TEX>, and their products including different combinations with different values of parameters and signs of variables.

keywords
generalized hypergeometric series, Pochhammer symbol, Saran's functions, Bessel's functions, Kelvin's functions, Srivastava's hypergeometric functions

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