Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems

Paneva-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 -