On the domains of analyticity of complex power series with independent random coefficients

We consider a complex power series with independent random coefficients and investigate the possibility of analytic extension of its sum beyond the boundaries of the domain of convergence.

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Bibliographic Details
Date:1992
Main Authors: Meredov , B., Мередов , Б.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8193
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We consider a complex power series with independent random coefficients and investigate the possibility of analytic extension of its sum beyond the boundaries of the domain of convergence.