CERTAIN DECOMPOSITION FORMULAS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS pFq AND SOME FORMULAS OF AN ANALYTIC CONTINUATION OF THE CLAUSEN FUNCTION 3F2

Title & Authors
CERTAIN DECOMPOSITION FORMULAS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS pFq AND SOME FORMULAS OF AN ANALYTIC CONTINUATION OF THE CLAUSEN FUNCTION 3F2
Choi, June-Sang; Hasanov, Anvar;

Abstract
Here, by using the symbolical method introduced by Burchnall and Chaundy, we aim at constructing certain expansion formulas for the generalized hypergeometric function $\small{_pF_q}$. In addition, using our expansion formulas for $\small{_pF_q}$, we present formulas of an analytic continuation of the Clausen hypergeometric function $\small{_3F_2}$, which are much simpler than an earlier known result. We also give some integral representations for $\small{_3F_2}$.
Keywords
generalized hypergeometric series;inverse pairs of symbolic;decomposition formulas;Gauss function;Clausen function;formulas of analytic continuations;
Language
English
Cited by
1.
DECOMPOSITION FORMULAE FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS WITH THE GAUSS-KUMMER IDENTITY,;;

대한수학회논문집, 2014. vol.29. 1, pp.97-108
1.
DECOMPOSITION FORMULAE FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS WITH THE GAUSS-KUMMER IDENTITY, Communications of the Korean Mathematical Society, 2014, 29, 1, 97
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