Some families of series identities and associated fractional differintegral formulas

DOI10.1080/10652460902782354zbMath1219.26009OpenAlexW2166541733MaRDI QIDQ3644329

Li-Fen Chang, Shy-Der Lin, Hari M. Srivastava

Publication date: 4 November 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902782354

zbMATH Keywords

gamma functionrational functionsGauss hypergeometric functioncomposite functionsgeneralized hypergeometric functionspower functionsgeneralized Leibniz ruleFox-Wright functionsoperators of fractional calculusindex law\(F\) and \(H\) functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) 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)

Related Items (2)

Laplace transform for solving some families of fractional differential equations and its applications ⋮ Particular solutions of a certain class of associated Cauchy-Euler fractional partial differential equations via fractional calculus

Cites Work

• Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
• Some fractional differintegral equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Series identities and associated families of generating functions
• Series identities and reducibility of Kampé de Fériet functions
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• The Asymptotic Expansion of the Generalized Hypergeometric Function
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