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

TitleSome theorems on the convergence of series in Bessel-Maitland functions
Publication TypeJournal Article
Year of Publication2009
AuthorsPaneva-Konovska J
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume99
KeywordsAbel and Tauber theorems, Bessel-Maitland function, Cauchy-Hadamard
Abstract

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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