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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Дата:2026
Автор: Altınkaya, Şahsene
Формат: Стаття
Мова:Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/9576
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal
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author Altınkaya, Şahsene
Altınkaya, Şahsene
Altınkaya, Şahsene
author_facet Altınkaya, Şahsene
Altınkaya, Şahsene
Altınkaya, Şahsene
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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.
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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