In: Mathematica Slovaca, vol. 64, no. 1
Jordanka Paneva-Konovska
Detaily:
Rok, strany: 2014, 73 - 84
Kľúčové slová:
Mittag-Leffler function and its generalizations, series in special functions in complex domain, Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems, entire functions, summation of divergent series
O článku:
In this paper we consider a family of $3$-index generalizations of the classical Mittag-Leffler functions. We study the convergence of series in such functions in the complex plane. First we find the domains of convergence of such series and then study their behaviour on the boundaries of these domains. More precisely, Cauchy-Hadamard, Abel, Tauber and Littlewood type theorems are proved as analogues of the classical theorems for the power series.
Ako citovať:
ISO 690:
Paneva-Konovska, J. 2014. Convergence of series in three parametric Mittag-Leffler functions. In Mathematica Slovaca, vol. 64, no.1, pp. 73-84. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0188-0
APA:
Paneva-Konovska, J. (2014). Convergence of series in three parametric Mittag-Leffler functions. Mathematica Slovaca, 64(1), 73-84. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0188-0
O vydaní:
Publikované: 1. 2. 2014