Fractional integration of the \(H\)-function of several variables

DOI10.1016/0898-1221(95)00148-RzbMath0834.33009MaRDI QIDQ1903211

Yanyan Li

Publication date: 26 November 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

fractional integrationmultivariable \(H\)-function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

Generalized fractional integral operators and the multivariable \(H\)-function ⋮ Best approximation of \((\mathcal{G}_1,\mathcal{G}_2)\)-random operator inequality in matrix Menger Banach algebras with application of stochastic Mittag-Leffler and \(\mathbb{H} \)-Fox control functions ⋮ An off-shell Wilson loop ⋮ Response functions in multicomponent Luttinger liquids ⋮ Fractional derivatives and expansion formulas involving H-functions of one and more variables ⋮ Operators of fractional integration and their applications ⋮ A model fork-out-of-mload-sharing systems

Cites Work

• Fractional derivatives of the H-function of several variables
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional derivatives of certain generalized hypergeometric functions of several variables
• Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation
• A note on the convergence of certain families of multiple hypergeometric series
• The G and H Functions as Symmetrical Fourier Kernels
• Fractional Derivatives and Special Functions
• Evaluation of a certain class of Eulerian integrals
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
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