Coefficient estimates and Fekete-Szegö problem for some classes of univalent functions generalized to a complex order
In this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order. In addition, we determine estimates for logarithmic coefficients of functions within these classes...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-02-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2024-0086 |
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| Summary: | In this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order. In addition, we determine estimates for logarithmic coefficients of functions within these classes. Moreover, we extend our study to include estimates for logarithmic coefficients of functions in the classes Fn(b){{\mathscr{F}}}_{n}\left(b) and Snc(b){{\mathscr{S}}}_{n}^{c}\left(b), studied by Kanas and Darwish. |
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| ISSN: | 2391-4661 |