DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4F3 FUNCTION

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 1,  2010, pp.1-16
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.1.001
Title & Authors
DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4F3 FUNCTION
Hasanov, Anvar; Turaev, Mamasali; Choi, June-Sang;

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 $\small{_4F_3}$ 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;
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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