On the mean convergence of the Taylor and Laurent series

For analytic functions in the domain ${\Delta=D\bigcup D_\infty}$ we find conditions expressed in terms of Laurent coefficients, necessary for convergence in the average of its Laurent series. For functions analytic in a circle ~ $D$, necessary and sufficient conditions of convergence in the mean Ta...

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Bibliographic Details
Date:2013
Main Authors: Tovkach, R. V., Товкач, Р. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2013
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/186
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine