Fractional calculus operators and their applications involving power functions and summation of series

zbMath0863.26008MaRDI QIDQ1920236

Ming-Po Chen, Hari M. Srivastava

Publication date: 21 April 1997

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/43987

zbMATH Keywords

infinite seriessummation of seriespower functionsapplications of fractional calculus operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Cites Work

• A certain family of infinite series associated with digamma functions
• A class of distortion theorems involving certain operators of fractional calculus
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Functions that have no first order derivative might have fractional derivatives of all orders less than one
• Fractional calculus and the sums of certain families of infinite series
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
• A Simple Algorithm for the Evaluation of a Class of Generalized Hypergeometric Series
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