On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum
For one sequence of polynomials arising in the construction of the numerical-analytic method for finding periodic solutions of nonlinear differential equations, we determine the explicit form of the Poisson–Abel sum and the exact solution of the equation for finding the radius of convergence of this...
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| Datum: | 2003 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3968 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510100685324288 |
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| author | Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. |
| author_facet | Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. |
| author_sort | Samoilenko, A. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:28Z |
| description | For one sequence of polynomials arising in the construction of the numerical-analytic method for finding periodic solutions of nonlinear differential equations, we determine the explicit form of the Poisson–Abel sum and the exact solution of the equation for finding the radius of convergence of this sum. |
| first_indexed | 2026-03-24T02:51:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3968 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:38Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cf/6f12ebe6b15b9abf748de16275666ecf.pdf |
| spelling | umjimathkievua-article-39682020-03-18T20:17:28Z On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum Об одной последовательности полиномов и радиусе сходимости ее суммы Пуассона - Абеля Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. For one sequence of polynomials arising in the construction of the numerical-analytic method for finding periodic solutions of nonlinear differential equations, we determine the explicit form of the Poisson–Abel sum and the exact solution of the equation for finding the radius of convergence of this sum. Для деякої послідовності поліномі», що виникла при побудові чисельно-аиалітичиого методу знаходження періодичних розв'язків нелінійних диференціальних рівнянь, знайдено явний вираз суми Пуассона — Абеля і точне рівняння для визначення радіуса збіжності цієї суми. Institute of Mathematics, NAS of Ukraine 2003-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3968 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 7 (2003); 926-934 Український математичний журнал; Том 55 № 7 (2003); 926-934 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3968/4648 https://umj.imath.kiev.ua/index.php/umj/article/view/3968/4649 Copyright (c) 2003 Samoilenko A. M. |
| spellingShingle | Samoilenko, A. M. Самойленко, А. М. Самойленко, А. М. On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum |
| title | On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum |
| title_alt | Об одной последовательности полиномов и радиусе сходимости ее суммы Пуассона - Абеля |
| title_full | On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum |
| title_fullStr | On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum |
| title_full_unstemmed | On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum |
| title_short | On One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum |
| title_sort | on one sequence of polynomials and the radius of convergence of its poisson–abel sum |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3968 |
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