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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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106448 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-106448 |
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Sheremeta, M.M. Volokh, O.A. 2016-09-28T19:07:45Z 2016-09-28T19:07:45Z 2007 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106448 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 ≤ +∞. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives |
| spellingShingle |
On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives Sheremeta, M.M. Volokh, O.A. |
| title_short |
On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives |
| title_full |
On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives |
| title_fullStr |
On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives |
| title_full_unstemmed |
On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives |
| title_sort |
on a convergence of formal power series under a special condition on the gelfond-leont'ev derivatives |
| author |
Sheremeta, M.M. Volokh, O.A. |
| author_facet |
Sheremeta, M.M. Volokh, O.A. |
| publishDate |
2007 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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 ≤ +∞.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106448 |
| citation_txt |
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. |
| work_keys_str_mv |
AT sheremetamm onaconvergenceofformalpowerseriesunderaspecialconditiononthegelfondleontevderivatives AT volokhoa onaconvergenceofformalpowerseriesunderaspecialconditiononthegelfondleontevderivatives |
| first_indexed |
2025-12-07T18:54:42Z |
| last_indexed |
2025-12-07T18:54:42Z |
| _version_ |
1850876816706764800 |