|
Convergence of a formal power series and Gelfond-Leont’ev
derivatives |
Author |
S. I. Fedynyak, M. M. Sheremeta
Ivan Franko National University of Lviv
|
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 $\{z\colon |z|\leq R\}, R\in (0, +\infty].$ We also give a survey of well-know results for the case $R=+\infty$. |
Keywords |
formal power series; formal power series |
DOI |
doi:10.30970/ms.35.2.149-154
|
Reference |
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– P. 241–252.
|
Pages |
149-154 |
Volume |
35 |
Issue |
2 |
Year |
2011 |
Journal |
Matematychni Studii |
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