Some theorems on the convergence of series in Bessel-Maitland functions

ЗаглавиеSome theorems on the convergence of series in Bessel-Maitland functions
Вид публикацияJournal Article
Година на публикуване2009
АвториPaneva-Konovska J
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том99
ключови думиAbel and Tauber theorems, Bessel-Maitland function, Cauchy-Hadamard
Резюме

Some important properties of the power series in complex domain are given by the classical Cauchy-Hadamard, Abel and Tauber theorems. In this paper we prove same type theorems for series in the Bessel-Maitland functions.

2000 MSC

main 30B10, 30B30, secondary 33C10, 33C20

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