Second Hankel Determinant Problem for k-bi-starlike Functions

ORHAN, Halit; TOKLU, EVRİM; KADIOĞLU, Ekrem

doi:10.2298/fil1712897o

Second Hankel Determinant Problem for k-bi-starlike Functions

ORHAN H., TOKLU E., KADIOĞLU E.

FILOMAT, cilt.31, sa.12, ss.3897-3904, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 31 Sayı: 12
Basım Tarihi: 2017
Doi Numarası: 10.2298/fil1712897o
Dergi Adı: FILOMAT
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.3897-3904
Anahtar Kelimeler: analytic and univalent functions, bi-univalent functions, Hankel determinant, k-bi-starlike function, UNIVALENT-FUNCTIONS, COEFFICIENT BOUNDS, GENERAL SUBCLASS, CONVEX-FUNCTIONS
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper we introduce and study some properties of k-bi-starlike functions defined by making use of the S.al.agean derivative operator. Upper bounds on the second Hankel determinant for k-bi-starlike functions are investigated. Relevant connections of the results presented here with various well-known results are briefly indicated.