Upper Bound of Hankel Determinant for a Class of Analytic Functions
Filomat, cilt.35, sa.11, ss.3713-3720, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 11
- Basım Tarihi: 2021
- Doi Numarası: 10.2298/fil2111713a
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.3713-3720
- Anahtar Kelimeler: Analytic function, Fekete-Szegö functional, Hankel determinant, Jack’s lemma, Schwarz lemma
- Maltepe Üniversitesi Adresli: Evet
Özet
The aim of this study is to solve the Fekete-Szegö problem and to define upper bound for Hankel determinant H2 (1) in a novel class K of analytical functions in the unit disc. Moreover, in a class of analytic functions on the unit disc, assuming the existence of an angular limit on the boundary point, the estimations from below of the modulus of angular derivative have been obtained.