On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives
For a formal power series the conditions on the Gelfond-Leont'ev derivatives are found, under which the series represents a function, analytic in the disk {z : |z| < R}, 0 < R ≤ +∞.
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106448 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives / M.M. Sheremeta, O.A. Volokh // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 241-252. — Бібліогр.: 3 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | For a formal power series the conditions on the Gelfond-Leont'ev derivatives are found, under which the series represents a function, analytic in the disk {z : |z| < R}, 0 < R ≤ +∞.
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| ISSN: | 1812-9471 |