Mittag-Leffler Functions Inequalities Asymptotic Formula Cauchy-Hadamard Summation of Divergent Series Abel, Tauber and Littlewood Type Theorems
Issue Date:
2010
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 13, No 4, (2010), 403p-414p
Abstract:
In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems. Asymptotic formulae are also provided for the Mittag-Leffler functions in the case of \large" values of indices that are used in the proofs of the convergence theorems for the considered series.
