On Humbert matrix functions and their properties

DOI10.1007/s13370-012-0083-9zbMath1301.33004OpenAlexW2136031052MaRDI QIDQ467928

Z. M. G. Kishka, M. Abul-Dahab, Ayman Shehata

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0083-9

zbMATH Keywords

recurrence relationsintegral representationsHumbert matrix function

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (3)

On the incomplete hypergeometric matrix functions ⋮ Euler-type integrals for the generalized hypergeometric matrix function ⋮ The second Kummer function with matrix parameters and its asymptotic behaviour

Cites Work

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• On the hypergeometric matrix function
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties of gamma and beta matrix functions
• On Humbert functions
• On Hermite-Hermite matrix polynomials

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