Commutativity of the Leibniz rules in fractional calculus

DOI10.1016/S0898-1221(00)00162-0zbMath0953.26003OpenAlexW2086778415WikidataQ123345541 ScholiaQ123345541MaRDI QIDQ1586278

Shih-Tong Tu, Tsu-Chen Wu, Hari M. Srivastava

Publication date: 13 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00162-0

zbMATH Keywords

hypergeometric functionsJacobi polynomialsfractional calculusanalytic continuationdigamma functionpsi functionLeibniz rules

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• A certain family of infinite series associated with digamma functions
• Some fractional differintegral equations
• A class of distortion theorems involving certain operators of fractional calculus
• A certain class of infinite sums associated with Digamma functions
• Fractional calculus and the sums of certain families of infinite series
• Fractional calculus operators and their applications involving power functions and summation of series
• A Simple Algorithm for the Evaluation of a Class of Generalized Hypergeometric Series
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