Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions

Paneva-Konovska, Jordanka. "Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions." Mathematica Balkanica New Series 26.1-2 (2012): 203-210. <http://eudml.org/doc/281437>.

@article{Paneva2012,
abstract = {MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and on its compact subsets are obtained. We also prove an asymptotic formula for the case of "large" values of the indices of these functions. Similar results have also been obtained by the author for the classical Bessel functions and their Wright's generalizations with 2, 3 and 4 parameters, as well as for the classical and multi-index Mittag-Le²er functions.},
author = {Paneva-Konovska, Jordanka},
journal = {Mathematica Balkanica New Series},
keywords = {special functions; Mittag-Leffer function and its generalizations; entire functions; inequalities; asymptotic formulae; Mittag-Leffler function and its generalizations},
language = {eng},
number = {1-2},
pages = {203-210},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions},
url = {http://eudml.org/doc/281437},
volume = {26},
year = {2012},
}

TY - JOUR
AU - Paneva-Konovska, Jordanka
TI - Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions
JO - Mathematica Balkanica New Series
PY - 2012
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 26
IS - 1-2
SP - 203
EP - 210
AB - MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and on its compact subsets are obtained. We also prove an asymptotic formula for the case of "large" values of the indices of these functions. Similar results have also been obtained by the author for the classical Bessel functions and their Wright's generalizations with 2, 3 and 4 parameters, as well as for the classical and multi-index Mittag-Le²er functions.
LA - eng
KW - special functions; Mittag-Leffer function and its generalizations; entire functions; inequalities; asymptotic formulae; Mittag-Leffler function and its generalizations
UR - http://eudml.org/doc/281437
ER -