On a class of analytic functions closely related to a class defined by Silverman and Silvia
UDC 517.5 We define and study a class of analytic functions in the unit disc by using the modification of the well-known Silverman and Silvia's analytic formula for starlike functions with respect to a boundary point. The representation theorem, as well as growth and distortion...
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| Дата: | 2026 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6523 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512426312597504 |
|---|---|
| author | Kavitha, S. Darus, M. Sivasubramanian, S. Kavitha, S. Darus, M. Sivasubramanian, S. |
| author_facet | Kavitha, S. Darus, M. Sivasubramanian, S. Kavitha, S. Darus, M. Sivasubramanian, S. |
| author_sort | Kavitha, S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-24T13:26:39Z |
| description | UDC 517.5
We define and study a class of analytic functions in the unit disc by using the modification of the well-known Silverman and Silvia's analytic formula for starlike functions with respect to a boundary point. The representation theorem, as well as growth and distortion theorems are established for the new class of functions.  Further, early coefficients of the new class of functions are also estimated. |
| doi_str_mv | 10.37863/umzh.v74i11.6523 |
| first_indexed | 2026-03-24T03:28:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-6523 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:28:36Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/b32f7ee1648eec83eee3eef34210ba6c |
| spelling | umjimathkievua-article-65232026-02-24T13:26:39Z On a class of analytic functions closely related to a class defined by Silverman and Silvia On a class of analytic functions closely related to a class defined by Silverman and Silvia Kavitha, S. Darus, M. Sivasubramanian, S. Kavitha, S. Darus, M. Sivasubramanian, S. Univalent; Starlike functions of order $\alpha$; Starlike function with respect to a boundary point; Coefficient estimates. Geometric Function Theory UDC 517.5 We define and study a class of analytic functions in the unit disc by using the modification of the well-known Silverman and Silvia's analytic formula for starlike functions with respect to a boundary point. The representation theorem, as well as growth and distortion theorems are established for the new class of functions.  Further, early coefficients of the new class of functions are also estimated. УДК 517.5 Про клас аналітичних функцій, тісно пов’язаний із класом, визначеним Сільверманом і Сільвіa  Bизначeно та вивчeно клас аналітичних функцій в одиничному крузі шляхом модифікації відомої аналітичної формули Сільвермана та Сільвіа для зіркоподібних функцій щодо граничної точки. Для нового класу функцій доведено теорему зображення, а також теореми зростання та спотворення.  Крім того, оцінено ранні коефіцієнти для нового класу функцій.  Institute of Mathematics, NAS of Ukraine 2026-02-22 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6523 10.37863/umzh.v74i11.6523 Ukrains’kyi Matematychnyi Zhurnal; Vol. 74 No. 11 (2022); 1533 - 1543 Український математичний журнал; Том 74 № 11 (2022); 1533 - 1543 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6523/9332 Copyright (c) 2022 Sivasubramanian S |
| spellingShingle | Kavitha, S. Darus, M. Sivasubramanian, S. Kavitha, S. Darus, M. Sivasubramanian, S. On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title | On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title_alt | On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title_full | On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title_fullStr | On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title_full_unstemmed | On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title_short | On a class of analytic functions closely related to a class defined by Silverman and Silvia |
| title_sort | on a class of analytic functions closely related to a class defined by silverman and silvia |
| topic_facet | Univalent Starlike functions of order $\alpha$ Starlike function with respect to a boundary point Coefficient estimates. Geometric Function Theory |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6523 |
| work_keys_str_mv | AT kavithas onaclassofanalyticfunctionscloselyrelatedtoaclassdefinedbysilvermanandsilvia AT darusm onaclassofanalyticfunctionscloselyrelatedtoaclassdefinedbysilvermanandsilvia AT sivasubramanians onaclassofanalyticfunctionscloselyrelatedtoaclassdefinedbysilvermanandsilvia AT kavithas onaclassofanalyticfunctionscloselyrelatedtoaclassdefinedbysilvermanandsilvia AT darusm onaclassofanalyticfunctionscloselyrelatedtoaclassdefinedbysilvermanandsilvia AT sivasubramanians onaclassofanalyticfunctionscloselyrelatedtoaclassdefinedbysilvermanandsilvia |