Representation of analytic functions by generalized series of exponents in unbounded convex domains
We establish conditions for the representation of functions f(z) analytic in unbounded convex domains D and continuous in \(\bar D\) via series of the form \(\sum\nolimits_{n = 1}^\infty {P_n \left( z \right)} e^{\lambda _n z} \) .
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4891 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511073764900864 |
|---|---|
| author | Krutigolova, Ye. K. Крутиголова, Є. К. |
| author_facet | Krutigolova, Ye. K. Крутиголова, Є. К. |
| author_sort | Krutigolova, Ye. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:32Z |
| description | We establish conditions for the representation of functions f(z) analytic in unbounded convex domains D and continuous in \(\bar D\) via series of the form \(\sum\nolimits_{n = 1}^\infty {P_n \left( z \right)} e^{\lambda _n z} \) . |
| first_indexed | 2026-03-24T03:07:06Z |
| format | Article |
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| id | umjimathkievua-article-4891 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:07:06Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1c/3473c3d825f023f980fad4a4f5ccae1c.pdf |
| spelling | umjimathkievua-article-48912020-03-18T21:16:32Z Representation of analytic functions by generalized series of exponents in unbounded convex domains Про зображення аналітичних функцій узагальненими рядами експонент в необмежених опуклих областях Krutigolova, Ye. K. Крутиголова, Є. К. We establish conditions for the representation of functions f(z) analytic in unbounded convex domains D and continuous in \(\bar D\) via series of the form \(\sum\nolimits_{n = 1}^\infty {P_n \left( z \right)} e^{\lambda _n z} \) . Встановлено умови для зображення рядами вигляду $\sum\nolimits_{n = 1}^\infty {P_n \left( z \right)} e^{\lambda _n z}$ функцій f(z), аналітичних в необмежених опуклих обласіях $D$ і неперервних в $\bar D$. Institute of Mathematics, NAS of Ukraine 1998-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4891 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 6 (1998); 812–817 Український математичний журнал; Том 50 № 6 (1998); 812–817 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4891/6481 https://umj.imath.kiev.ua/index.php/umj/article/view/4891/6482 Copyright (c) 1998 Krutigolova Ye. K. |
| spellingShingle | Krutigolova, Ye. K. Крутиголова, Є. К. Representation of analytic functions by generalized series of exponents in unbounded convex domains |
| title | Representation of analytic functions by generalized series of exponents in unbounded convex domains |
| title_alt | Про зображення аналітичних функцій узагальненими рядами експонент в необмежених опуклих областях |
| title_full | Representation of analytic functions by generalized series of exponents in unbounded convex domains |
| title_fullStr | Representation of analytic functions by generalized series of exponents in unbounded convex domains |
| title_full_unstemmed | Representation of analytic functions by generalized series of exponents in unbounded convex domains |
| title_short | Representation of analytic functions by generalized series of exponents in unbounded convex domains |
| title_sort | representation of analytic functions by generalized series of exponents in unbounded convex domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4891 |
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