scientific article; zbMATH DE number 7084534

DOI10.4134/CKMS.c170421zbMath1416.33013MaRDI QIDQ5224310

Yong Sup Kim

Publication date: 23 July 2019

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fractional derivativesAppell functionsmultiple hypergeometric seriesSrivastava functions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

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• Certain transformations for multiple hypergeometric functions
• Decomposition formulas for the double hypergeometric functions \(G_{1}\) and \(G_{2}\)
• Specialization of Appell's functions to univariate hypergeometric functions
• Remark on certain transformations for multiple hypergeometric functions
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• TWO RESULTS FOR THE TERMINATING₃F₂(2) WITH APPLICATIONS
• FURTHER HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY FRACTIONAL CALCULUS
• An Integral Representation for the Product of Two Jacobi Polynomials†
• A summation formula for Clausen's series₃F₂(1) with an application to Goursat's function₂F₂(x)
• A new transformation formula for fractional derivatives with applications
• The Fractional Derivative of a Composite Function

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