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BY-NC-ND 3.0 license Open Access Published by De Gruyter March 6, 2014

Convergence of series in three parametric Mittag-Leffler functions

  • Jordanka Paneva-Konovska EMAIL logo
From the journal Mathematica Slovaca

Abstract

In this paper we consider a family of 3-index generalizations of the classical Mittag-Leffler functions. We study the convergence of series in such functions in the complex plane. First we find the domains of convergence of such series and then study their behaviour on the boundaries of these domains. More precisely, Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems are proved as analogues of the classical theorems for the power series.

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Published Online: 2014-3-6
Published in Print: 2014-2-1

© 2014 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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