Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli
Mathematics, cilt.11, sa.5, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 5
- Basım Tarihi: 2023
- Doi Numarası: 10.3390/math11051147
- Dergi Adı: Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Anahtar Kelimeler: Hankel determinant, Carlson-Shaffer operator, Lemniscate of Bernoulli, holomorphic function, univalent function, Fekete-Szego problem, starlike function, Zalcman functional, EARLY COEFFICIENTS, UNIVALENT, STARLIKE, SUBCLASS, INVERSE
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Atatürk Üniversitesi Adresli: Evet
Özet
The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass (Formula presented.) of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk. Finally, for some special values of parameters, several corollaries were presented.