On Entire Functions Belonging to a Generalized Class of Convergence
In terms of Taylor coefficients and distribution of zeros, we describe the class of entire functions f defined by the convergence of the integral \(\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_{f} (r))}}{{r^{\rho + 1} }}} dr\) , where γ is a slowly increasing function.
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| Date: | 2002 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4082 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510213310775296 |
|---|---|
| author | Gal', Yu. M. Mulyava, O. M. Sheremeta, M. M. Галь, Ю. М. Мулява, О. М. Шеремета, М. М. |
| author_facet | Gal', Yu. M. Mulyava, O. M. Sheremeta, M. M. Галь, Ю. М. Мулява, О. М. Шеремета, М. М. |
| author_sort | Gal', Yu. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:24Z |
| description | In terms of Taylor coefficients and distribution of zeros, we describe the class of entire functions f defined by the convergence of the integral \(\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_{f} (r))}}{{r^{\rho + 1} }}} dr\) , where γ is a slowly increasing function. |
| first_indexed | 2026-03-24T02:53:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4082 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:53:25Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a7/476ef8a57882ddbd6efc10f73c8519a7.pdf |
| spelling | umjimathkievua-article-40822020-03-18T20:22:24Z On Entire Functions Belonging to a Generalized Class of Convergence Про належність цілих функцій до узагальненого класу збіжності Gal', Yu. M. Mulyava, O. M. Sheremeta, M. M. Галь, Ю. М. Мулява, О. М. Шеремета, М. М. In terms of Taylor coefficients and distribution of zeros, we describe the class of entire functions f defined by the convergence of the integral \(\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_{f} (r))}}{{r^{\rho + 1} }}} dr\) , where γ is a slowly increasing function. У термінах гейлорових коефіцієнтів і розподілу нулів описано клас цілих функцій $f$, означений збіжністю інтеграла $$\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_{f} (r))}}{{r^{\rho + 1} }}} dr,$$ де γ—повільно зростаюча функція. Institute of Mathematics, NAS of Ukraine 2002-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4082 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 4 (2002); 439-446 Український математичний журнал; Том 54 № 4 (2002); 439-446 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4082/4874 https://umj.imath.kiev.ua/index.php/umj/article/view/4082/4875 Copyright (c) 2002 Gal' Yu. M.; Mulyava O. M.; Sheremeta M. M. |
| spellingShingle | Gal', Yu. M. Mulyava, O. M. Sheremeta, M. M. Галь, Ю. М. Мулява, О. М. Шеремета, М. М. On Entire Functions Belonging to a Generalized Class of Convergence |
| title | On Entire Functions Belonging to a Generalized Class of Convergence |
| title_alt | Про належність цілих функцій до узагальненого класу збіжності |
| title_full | On Entire Functions Belonging to a Generalized Class of Convergence |
| title_fullStr | On Entire Functions Belonging to a Generalized Class of Convergence |
| title_full_unstemmed | On Entire Functions Belonging to a Generalized Class of Convergence |
| title_short | On Entire Functions Belonging to a Generalized Class of Convergence |
| title_sort | on entire functions belonging to a generalized class of convergence |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4082 |
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