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http://dx.doi.org/10.5831/HMJ.2010.32.4.581

SOME DECOMPOSITION FORMULAS ASSOCIATED WITH THE SARAN FUNCTION FE  

Kim, Yong-Sup (Department of Mathematics Education, Wonkwang University)
Hasanov, Anvar (Institute of Mathematics and Information technologies, Uzbek academy of Sciences)
Lee, Chang-Hyun (Department of Mathematics, Seonam University)
Publication Information
Honam Mathematical Journal / v.32, no.4, 2010 , pp. 581-592 More about this Journal
Abstract
With the help of some techniques based upon certain inverse pairs of symbolic operators initiated by Burchnall-Chaundy, the authors investigate decomposition formulas associated with Saran's function $F_E$ in three variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By employing their decomposition formulas, we also present a new group of integral representations for the Saran function $F_E$.
Keywords
Generalized hypergeometric series; Inverse pairs of symbolic operators; Decomposition formulas; Srivastava's triple hypergeometric functions; Gauss function; Appell functions; Integral representations;
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