On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers
UDC 517.54 We define a class of $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers and study the coefficient bounds, Hankel determinants, and logarithmic coefficient bounds for this class of functions. The sharpness of the obtained estimates is also discussed. Our results gene...
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| Datum: | 2026 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9861 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1871646590986354688 |
|---|---|
| author | Javed, Kashif Raza, Mohsan Javed, Kashif Raza, Mohsan |
| author_facet | Javed, Kashif Raza, Mohsan Javed, Kashif Raza, Mohsan |
| author_institution_txt_mv | [
{
"author": "Kashif Javed",
"institution": "Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan"
},
{
"author": "Mohsan Raza",
"institution": "Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan"
}
] |
| author_sort | Javed, Kashif |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-07-24T15:24:12Z |
| description | UDC 517.54
We define a class of $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers and study the coefficient bounds, Hankel determinants, and logarithmic coefficient bounds for this class of functions. The sharpness of the obtained estimates is also discussed. Our results generalize results already known from the literature. |
| doi_str_mv | 10.3842/umzh.v78i7-8.9861 |
| first_indexed | 2026-07-25T01:01:23Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9861 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-25T01:01:23Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-98612026-07-24T15:24:12Z On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers Javed, Kashif Raza, Mohsan Javed, Kashif Raza, Mohsan $\mathsf{q}$-starlike functions $\mathsf{q}$-Bernoulli numbers coefficient bounds Hankel determinants logarithmic coefficients 30C45 30C50 UDC 517.54 We define a class of $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers and study the coefficient bounds, Hankel determinants, and logarithmic coefficient bounds for this class of functions. The sharpness of the obtained estimates is also discussed. Our results generalize results already known from the literature. УДК 517.54 Про $\mathsf{q}$-зіркоподібні функції, пов'язані з $\mathsf{q}$-числами Бернуллі Визначено клас $\mathsf{q}$-зіркоподібних функцій, пов'язаних із $\mathsf{q}$-числами Бернуллі. Досліджено оцінки коефіцієнтів, визначники Ганкеля та оцінки для логарифмічних коефіцієнтів для цього класу функцій. Також розглянуто точність отриманих оцінок. Одержані результати узагальнюють низку результатів, відомих із літератури. Institute of Mathematics, NAS of Ukraine 2026-07-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9861 10.3842/umzh.v78i7-8.9861 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 7-8 (2026); 606 Український математичний журнал; Том 78 № 7-8 (2026); 606 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9861/10687 Copyright (c) 2026 Kashif Javed, Mohsan Raza |
| spellingShingle | Javed, Kashif Raza, Mohsan Javed, Kashif Raza, Mohsan On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title | On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title_alt | On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title_full | On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title_fullStr | On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title_full_unstemmed | On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title_short | On $\mathsf{q}$-starlike functions related to $\mathsf{q}$-Bernoulli numbers |
| title_sort | on $\mathsf{q}$-starlike functions related to $\mathsf{q}$-bernoulli numbers |
| topic_facet | $\mathsf{q}$-starlike functions $\mathsf{q}$-Bernoulli numbers coefficient bounds Hankel determinants logarithmic coefficients 30C45 30C50 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9861 |
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