# Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 4, page 403-414
- ISSN: 1311-0454

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topPaneva-Konovska, Jordanka. "Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems." Fractional Calculus and Applied Analysis 13.4 (2010): 403-414. <http://eudml.org/doc/219637>.

@article{Paneva2010,

abstract = {MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In 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 " values of indices that are used in the proofs of the convergence theorems for the considered series.},

author = {Paneva-Konovska, Jordanka},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Mittag-Leffler Functions; Inequalities; Asymptotic Formula; Cauchy-Hadamard; Summation of Divergent Series; Abel, Tauber and Littlewood Type Theorems; Mittag-Leffler functions; Cauchy-Hadamard type theorems; Abel type theorems; Tauber type theorems; Littlewood type theorems},

language = {eng},

number = {4},

pages = {403-414},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems},

url = {http://eudml.org/doc/219637},

volume = {13},

year = {2010},

}

TY - JOUR

AU - Paneva-Konovska, Jordanka

TI - Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems

JO - Fractional Calculus and Applied Analysis

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 13

IS - 4

SP - 403

EP - 414

AB - MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In 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 " values of indices that are used in the proofs of the convergence theorems for the considered series.

LA - eng

KW - Mittag-Leffler Functions; Inequalities; Asymptotic Formula; Cauchy-Hadamard; Summation of Divergent Series; Abel, Tauber and Littlewood Type Theorems; Mittag-Leffler functions; Cauchy-Hadamard type theorems; Abel type theorems; Tauber type theorems; Littlewood type theorems

UR - http://eudml.org/doc/219637

ER -

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