Overconvergence of series in generalized Mittag-Leffler functions

DOI10.1515/fca-2017-0026zbMath1364.33020OpenAlexW2620650069MaRDI QIDQ2396337

Jordanka Paneva-Konovska

Publication date: 8 June 2017

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

Full work available at URL: https://doi.org/10.1515/fca-2017-0026

zbMATH Keywords

Hadamard gapsoverconvergenceMittag-Leffler functions and generalizationsseries in generalized Mittag-Leffler functions

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Power series (including lacunary series) in one complex variable (30B10) Mittag-Leffler functions and generalizations (33E12) Boundary behavior of power series in one complex variable; over-convergence (30B30)

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Cites Work

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• Operator method for construction of solutions of linear fractional differential equations with constant coefficients
• Generalized distributed order diffusion equations with composite time fractional derivative
• The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
• Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• Multi-parametric Mittag-Leffler functions and their extension
• The role of the Mittag-Leffler function in fractional modeling
• Overconvergence of series in generalized Mittag-Leffler functions
• Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel
• From Bessel to Multi-Index Mittag–Leffler Functions
• Exact solution of two-term time-fractional Thornley's problem by operational method
• PERIPHERY BEHAVIOUR OF SERIES IN MITTAG-LEFFLER TYPE FUNCTIONS, II
• PERIPHERY BEHAVIOUR OF SERIES IN MITTAG-LEFFLER TYPE FUNCTIONS, I
• Generalized diffusion-wave equation with memory kernel
• Convergence of series in three parametric Mittag-Leffler functions
• Mittag-Leffler Functions, Related Topics and Applications