Families of spiral-like functions connected with the Rabotnov function
UDC 517.546, 517.58 We explore new families of analytic functions defined through the concepts of subordination and the Rabotnov function. We provide convolution properties and sharp coefficient bounds for functions within these families and examine their inclusion relations with other well-known an...
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| Date: | 2026 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9576 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1871646573638713344 |
|---|---|
| author | Altınkaya, Şahsene Altınkaya, Şahsene Altınkaya, Şahsene |
| author_facet | Altınkaya, Şahsene Altınkaya, Şahsene Altınkaya, Şahsene |
| author_institution_txt_mv | [
{
"author": "Şahsene Altınkaya",
"institution": "Department of Mathematics and Statistics, Faculty of Science University of Turku, Turku, Finland"
}
] |
| author_sort | Altınkaya, Şahsene |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-07-24T15:24:12Z |
| description | UDC 517.546, 517.58
We explore new families of analytic functions defined through the concepts of subordination and the Rabotnov function. We provide convolution properties and sharp coefficient bounds for functions within these families and examine their inclusion relations with other well-known analytic function families. |
| doi_str_mv | 10.3842/umzh.v78i7-8.9576 |
| first_indexed | 2026-07-25T01:01:06Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9576 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-25T01:01:06Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-95762026-07-24T15:24:12Z Families of spiral-like functions connected with the Rabotnov function Families of spiral-like functions connected with the Rabotnov function Altınkaya, Şahsene Altınkaya, Şahsene Altınkaya, Şahsene Spirallike function Rabotnov function subordination convolution 33E12 30C45 30C80 UDC 517.546, 517.58 We explore new families of analytic functions defined through the concepts of subordination and the Rabotnov function. We provide convolution properties and sharp coefficient bounds for functions within these families and examine their inclusion relations with other well-known analytic function families. УДК 517.546, 517.58 Сім'ї спіралеподібних функцій, що пов'язані з функцією Работнова Досліджено нові сім'ї аналітичних функцій, визначені за допомогою понять підпорядкування та функції Работнова. Отримано властивості згортки та точні оцінки коефіцієнтів для функцій із цих сімей, а також вивчено відношення включень для цих функцій пoрівняно з іншими добре відомими сім'ями аналітичних функцій. Institute of Mathematics, NAS of Ukraine 2026-07-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9576 10.3842/umzh.v78i7-8.9576 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 7-8 (2026); 592 Український математичний журнал; Том 78 № 7-8 (2026); 592 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9576/10679 Copyright (c) 2026 Şahsene Altınkaya |
| spellingShingle | Altınkaya, Şahsene Altınkaya, Şahsene Altınkaya, Şahsene Families of spiral-like functions connected with the Rabotnov function |
| title | Families of spiral-like functions connected with the Rabotnov function |
| title_alt | Families of spiral-like functions connected with the Rabotnov function |
| title_full | Families of spiral-like functions connected with the Rabotnov function |
| title_fullStr | Families of spiral-like functions connected with the Rabotnov function |
| title_full_unstemmed | Families of spiral-like functions connected with the Rabotnov function |
| title_short | Families of spiral-like functions connected with the Rabotnov function |
| title_sort | families of spiral-like functions connected with the rabotnov function |
| topic_facet | Spirallike function Rabotnov function subordination convolution 33E12 30C45 30C80 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9576 |
| work_keys_str_mv | AT altınkayasahsene familiesofspirallikefunctionsconnectedwiththerabotnovfunction AT altınkayasahsene familiesofspirallikefunctionsconnectedwiththerabotnovfunction AT altınkayasahsene familiesofspirallikefunctionsconnectedwiththerabotnovfunction |