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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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

FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS F<sub>E</sub> AND F<sup>(3)</sup>

FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS FE AND F

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education, Wonkwang University)
Hasanov, Anvar (Institute of Mathematics and Information Technology)

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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한국수학교육학회지시리즈B:순수및응용수학