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Convergence of a formal power series and Gelfond-Leont'ev derivatives
Journal: Matematychni Studii (Vol.35, No. 2)Publication Date: 2011-04-01
Authors : Fedynyak S. I.; Sheremeta M. M.;
Page : 149-154
Keywords : formal power series; formal power series;
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Abstract
Given a formal power series, we establish conditions on the formal power seriess under which the series represents a function analytic in the disk ${zcolon |z|leq R}, Rin (0, +infty].$ We also give a survey of well-know results for the case $R=+infty$.
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