Sufficient conditions for starlikeness related to a hyperbolic cosine function
UDC 517.5 We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8382 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513064640577536 |
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| author | Kumar, S. Sivaprasad Mundalia, Mridula Kumar, S. Sivaprasad Mundalia, Mridula |
| author_facet | Kumar, S. Sivaprasad Mundalia, Mridula Kumar, S. Sivaprasad Mundalia, Mridula |
| author_sort | Kumar, S. Sivaprasad |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-05T09:34:45Z |
| description | UDC 517.5
We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations. |
| doi_str_mv | 10.3842/umzh.v77i2.8382 |
| first_indexed | 2026-03-24T03:38:45Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8382 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:38:45Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-83822025-11-05T09:34:45Z Sufficient conditions for starlikeness related to a hyperbolic cosine function Sufficient conditions for starlikeness related to a hyperbolic cosine function Kumar, S. Sivaprasad Mundalia, Mridula Kumar, S. Sivaprasad Mundalia, Mridula Univalent functions; Starlike functions; Differential subordination; Briot-Bouquet differential subordination; Hyperbolic cosine function Geometric Function Theory Differential Subordination UDC 517.5 We determine sufficient conditions for functions to be in the class $\mathcal{S}^{*}_{\varrho}$ formed by starlike functions related to $\cosh \sqrt{z}$ by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations. УДК 517.5 Достатні умови зіркоподібнoстi, що пов’язані з гіперболічним косинусом Визначено достатні умови для того, щоб функції належали до класу $\mathcal{S}^{*}_{\varrho}$, який складається із зіркоподібних функцій, пов’язаних з $\cosh \sqrt{z},$ за допомогою техніки Бріо–Буке та інших методів диференціального підпорядкування. Крім того, щоб встановити точність отриманих результатів, наведено результати графічних перевірок та відповідні ілюстрації. Institute of Mathematics, NAS of Ukraine 2025-11-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8382 10.3842/umzh.v77i2.8382 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 2 (2025); 159–160 Український математичний журнал; Том 77 № 2 (2025); 159–160 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8382/10347 Copyright (c) 2025 S. Sivaprasad Kumar, Mridula Mundalia |
| spellingShingle | Kumar, S. Sivaprasad Mundalia, Mridula Kumar, S. Sivaprasad Mundalia, Mridula Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title | Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title_alt | Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title_full | Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title_fullStr | Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title_full_unstemmed | Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title_short | Sufficient conditions for starlikeness related to a hyperbolic cosine function |
| title_sort | sufficient conditions for starlikeness related to a hyperbolic cosine function |
| topic_facet | Univalent functions Starlike functions Differential subordination Briot-Bouquet differential subordination Hyperbolic cosine function Geometric Function Theory Differential Subordination |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8382 |
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