Differentiation of integral Mittag-Leffler and integral wright functions with respect to parameters

DOI10.1007/s13540-023-00142-7zbMath1511.33012MaRDI QIDQ6045939

Alexander Apelblat, J. L. González-Santander

Publication date: 15 May 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

derivative with respect to parametersintegral Mittag-Leffler functionintegral wright function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Mittag-Leffler functions and generalizations (33E12) Generalized hypergeometric series, ({}_pF_q) (33C20)

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Cites Work

• Langevin equation for a free particle driven by power law type of noises
• Closed-form summations of certain hypergeometric-type series containing the digamma function
• Mittag-Leffler Functions, Related Topics and Applications
• Fractional Calculus and Waves in Linear Viscoelasticity
• Summations for certain series containing the digamma function
• Generalized diffusion-wave equation with memory kernel
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE
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