Domain of convergence of the Euler transform for the power series of an analytic function

We consider the Euler transform of the power series of an analytic function playing the role of its expansion in a series in a system of polynomials and study the domain of convergence of the transform depending on the parameter of transformation and the character of singular points of the function....

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Bibliographic Details
Date:2008
Main Authors: Sukhorolskyi, M. A., Сухорольський, М. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3232
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal