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• W2620650069 abstract "Series defined by means of the three-parametric Mittag-Leffler functions, called also the Prabhakar functions, are considered in this paper. Their behaviour is investigated on the boundaries of the convergence domains. Necessary and sufficient conditions for their overconvergence are proposed. The corresponding results for series in Mittag-Leffler functions are discussed as a particular case. Such kind of results are motivated by the fact that the solutions of some fractional order differential and integral equations can be written in terms of series (or series of integrals) of Mittag-Leffler type functions." @default.
• W2620650069 created "2017-06-09" @default.
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• W2620650069 date "2017-04-01" @default.
• W2620650069 modified "2023-09-26" @default.
• W2620650069 title "Overconvergence of Series in Generalized Mittag-Leffler Functions" @default.
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• W2620650069 doi "https://doi.org/10.1515/fca-2017-0026" @default.
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