Convergence of a formal power series and Gelfond-Leont’ev derivatives

Given a formal power series, we establish conditions on the formal power seriess under which the series represents a function analytic in the disk {z:|z|≤R},R∈(0,+∞]. We also give a survey of well-know results for the case R=+∞.

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Bibliographic Details
Main Authors: S. I. Fedynyak, M. M. Sheremeta
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2011-05-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/texts/2011/35_2/149-154.pdf
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