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http://dx.doi.org/10.7468/jksmeb.2012.19.1.43

FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS FE AND F(3)  

Kim, Yong-Sup (Department of Mathematics Education, Wonkwang University)
Hasanov, Anvar (Institute of Mathematics and Information Technology)
Publication Information
The Pure and Applied Mathematics / v.19, no.1, 2012 , pp. 43-57 More about this Journal
Abstract
By simply splitting the hypergeometric Saran function $F_E$ into eight parts, we show how some useful and generalized relations between $F_E$ and Srivas- tava's hypergeometric function $F^{(3)}$ can be obtained. These main results are shown to be specialized to yield certain relations between functions $_0F_1$, $_1F_1$, $_0F_3$, ${\Psi}_2$, 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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Times Cited By KSCI : 1  (Citation Analysis)
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