Hankel Determinant for a Subclass of Bi-Univalent Functions Defined by Using a Symmetric q-Derivative Operator
FILOMAT, cilt.32, sa.2, ss.503-516, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 2
- Basım Tarihi: 2018
- Doi Numarası: 10.2298/fil1802503s
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.503-516
- Anahtar Kelimeler: Analytic functions, Univalent functions, Bi-Univalent functions, Hankel determinant, Fekete-Szego functional, q-Derivative, COEFFICIENT BOUNDS, GENERAL SUBCLASS, STARLIKE
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper, we discuss the various properties of a newly-constructed subclass of the class of normalized bi-univalent functions in the open unit disk, which is defined here by using a symmetric basic (or q-) derivative operator. Moreover, for functions belonging to this new basic (or q-) class of normalized biunivalent functions, we investigate the estimates and inequalities involving the second Hankel determinant.