Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems
| Data(s) |
11/06/2012
11/06/2012
2010
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|---|---|
| Resumo |
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 \large" values of indices that are used in the proofs of the convergence theorems for the considered series. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 13, No 4, (2010), 403p-414p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Mittag-Leffler Functions #Inequalities #Asymptotic Formula #Cauchy-Hadamard #Summation of Divergent Series #Abel, Tauber and Littlewood Type Theorems |
| Tipo |
Article |
