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http://dx.doi.org/10.5831/HMJ.2010.32.1.001

DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4F3 FUNCTION  

Hasanov, Anvar (Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences)
Turaev, Mamasali (Institute for Advanced Studies)
Choi, June-Sang (Department of Mathematics, Dongguk University)
Publication Information
Honam Mathematical Journal / v.32, no.1, 2010 , pp. 1-16 More about this Journal
Abstract
By using the generalized operator method given by Burchnall and Chaundy in 1940, the authors present one-dimensional inverse pairs of symbolic operators. Many operator identities involving these pairs of symbolic operators are rst constructed. By means of these operator identities, 11 decomposition formulas for the generalized hypergeometric $_4F_3$ function are then given. Furthermore, the integral representations associated with generalized hypergeometric functions are also presented.
Keywords
Decomposition formulas; Generalized hypergeometric functions; Inverse pairs of symbolic operators; Integral representations;
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