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| Zusammenfassung: | 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. |
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| DOI: | 10.3842/umzh.v78i7-8.9861 |