Multi-parametric Le Roy function revisited

DOI10.1007/S13540-023-00221-9MaRDI QIDQ6495733

Maryna Dubatovskaya, Sergei V. Rogosin

Publication date: 2 May 2024

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

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Cites Work

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• Integral representation of the four-parametric generalized Mittag-Leffler function
• Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
• On a generalized three-parameter Wright function of Le Roy type
• Some results on the complete monotonicity of Mittag-Leffler functions of le Roy type
• Multi-parametric Mittag-Leffler functions and their extension
• On some operators involving Hadamard derivatives
• Asymptotics for a variant of the Mittag–Leffler function
• The H function associated with a certain class of Feynman integrals
• New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function
• Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian
• Integral form of Le Roy-type hypergeometric function
• A new generalization of generalized hypergeometric functions
• Mittag-Leffler Functions, Related Topics and Applications
• Remark on a Mittag–Leffler function of Le Roy type
• Prabhakar function of Le Roy type: a set of results in the complex plane
• Multi-parametric Le Roy function

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