Symbolic operational images and decomposition formulas for hypergeometric functions

DOI10.1016/J.JMAA.2010.10.073zbMath1219.33030OpenAlexW2009770567MaRDI QIDQ624603

Maged G. Bin-Saad

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.10.073

zbMATH Keywords

hypergeometric functionsdifferential operatordecomposition formulasoperational images

Mathematics Subject Classification ID

Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (4)

Further investigations on the two variables second Appell hypergeometric matrix function ⋮ Linear independent solutions and operational representations for hypergeometric functions of four variables ⋮ Decomposition formulas for triple \(q\)-hypergeometric functions ⋮ Generating functions for generalized Hermite polynomials associated with parabolic cylinder functions

Cites Work

• Decomposition formulas for some triple hypergeometric functions
• Decomposition formulas for the double hypergeometric functions \(G_{1}\) and \(G_{2}\)
• Generalized polynomials, operational identities and their applications
• Decomposition formulas associated with the Lauricella multivariable hypergeometric functions
• Some decomposition formulas associated with the Lauricella function \(F_{A}^{(r)}\) and other multiple hypergeometric functions
• Some integrals representing triple hypergeometric functions
• EXPANSIONS OF APPELL'S DOUBLE HYPERGEOMETRIC FUNCTIONS
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)
• Generating Functions for Bessel and Related Polynomials
• EXPANSIONS OF HYPERGEOMETRIC FUNCTIONS
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