Expansion formulas for a class of function related to incomplete Fox-Wright function

DOI10.1007/s40590-024-00596-6OpenAlexW4391993201MaRDI QIDQ6151705

Praveen Agarwal, Mohsen Miraoui, Sana Mehrez

Publication date: 11 March 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-024-00596-6

zbMATH Keywords

Mittag-Leffler functionintegral equationseriesRiemann-Liouville fractional derivativeFox-Wright function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Mittag-Leffler functions and generalizations (33E12) Other functions coming from differential, difference and integral equations (33E30) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications
• Turán type inequalities for classical and generalized Mittag-Leffler functions
• Integral representation and computational properties of the incomplete Fox-Wright function
• New properties for several classes of functions related to the Fox-Wright functions
• Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications
• Mittag-Leffler Functions, Related Topics and Applications
• The Asymptotic Expansion of the Generalized Hypergeometric Function

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