Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems
Paneva-Konovska, Jordanka (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12
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