Third order differential subordination associated with exponential function
UDC 517.5 Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function $q(z)=e^z$. As an application, we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived s...
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| Дата: | 2026 |
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| 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/8697 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513243368259584 |
|---|---|
| author | Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. |
| author_facet | Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. |
| author_sort | Judy Lavanya, V. Agnes Sagaya |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:34:23Z |
| description | UDC 517.5
Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function $q(z)=e^z$. As an application, we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived second-order differential implications significantly generalize numerous results obtained in [A. Naz, S. Nagpal, V. Ravichandran, Mediterran. J. Math., 17, № 204, 1–22 (2020)]. |
| doi_str_mv | 10.3842/umzh.v77i10.8697 |
| first_indexed | 2026-03-24T03:41:35Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8697 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:41:35Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-86972026-03-21T13:34:23Z Third order differential subordination associated with exponential function Third order differential subordination associated with exponential function Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. Analytic functions; Third order Differential Subordination; admissible function; exponenetial function; Univalent function;Bessel function; Struve function; Lommel function, confluent hy-pergeometric function. Submission of the original research article in Ukrainian journal of mathematics UDC 517.5 Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function $q(z)=e^z$. As an application, we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived second-order differential implications significantly generalize numerous results obtained in [A. Naz, S. Nagpal, V. Ravichandran, Mediterran. J. Math., 17, № 204, 1–22 (2020)]. УДК 517.5 Диференціальне підпорядкування третього порядку, пов’язане з експоненціальною функцією Із використанням умов припустимості досліджено деякі результати щодо диференціального підпорядкування третього порядку з надпорядковою функцією \(q(z) = e^z\). Як застосування отримано достатні умови, за яких певні спеціальні функції набувають властивостей експоненціальної опуклості та експоненціальної зіркоподібності. Виведені нами наслідки для диференціальних рівнянь другого порядку узагальнюють багато результатів, отриманих у [A. Naz, S. Nagpal, V. Ravichandran, Mediterran. J. Math., 17, № 204, 1–22 (2020)]. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8697 10.3842/umzh.v77i10.8697 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 10 (2025); 643 Український математичний журнал; Том 77 № 10 (2025); 643 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8697/10569 Copyright (c) 2025 V. Agnes Sagaya Judy Lavanya, M. P. Jeyaraman, M. P. Rajakumar |
| spellingShingle | Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. Judy Lavanya, V. Agnes Sagaya Jeyaraman, M. P. Rajakumar, M. P. Third order differential subordination associated with exponential function |
| title | Third order differential subordination associated with exponential function |
| title_alt | Third order differential subordination associated with exponential function |
| title_full | Third order differential subordination associated with exponential function |
| title_fullStr | Third order differential subordination associated with exponential function |
| title_full_unstemmed | Third order differential subordination associated with exponential function |
| title_short | Third order differential subordination associated with exponential function |
| title_sort | third order differential subordination associated with exponential function |
| topic_facet | Analytic functions; Third order Differential Subordination; admissible function; exponenetial function; Univalent function;Bessel function; Struve function; Lommel function confluent hy-pergeometric function. Submission of the original research article in Ukrainian journal of mathematics |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8697 |
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