Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions
Data(s) |
21/07/2016
21/07/2016
2012
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Resumo |
MSC 2010: 33E12, 30A10, 30D15, 30E15 We 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. |
Identificador |
Mathematica Balkanica New Series, Vol. 26, Fasc 1-2 (2012), 203p-210p 0205-3217 |
Idioma(s) |
en |
Publicador |
Bulgarian Academy of Sciences - National Committee for Mathematics |
Palavras-Chave | #special functions #Mittag-Leffer function and its generalizations #entire functions #inequalities #asymptotic formulae |
Tipo |
Article |