Estimates concerned with Hankel determinant for M(α) class
| Autor: | Selin Aydinoğlu, Nafi Örnek |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Filomat. 36:3679-3688 |
| ISSN: | 2406-0933 0354-5180 |
| DOI: | 10.2298/fil2211679a |
| Popis: | In this paper, we give an upper bound of Hankel determinant of (H2(1)) for the classes of M(?), ? ? C. Also, for M(?), we obtain a sharp estimate for the classical Fekete-Szeg? inequality. That is, we will get a sharp upper bound for the Hankel determinant H2(1) = c3 ? c22. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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