ON THE CHEBYSHEV POLYNOMIAL COEFFICIENT PROBLEM OF BI-BAZILEVIC FUNCTIONS
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.10, sa.1, ss.254-258, 2020 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 1
- Basım Tarihi: 2020
- Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.254-258
- Anahtar Kelimeler: Chebyshev polynomials, analytic and univalent functions, bi-univalent functions, bi-Bazilevic functions, coefficient bounds, subordination, Fekete-Szego inequality, FEKETE-SZEGO PROBLEM, UNIVALENT FUNCTIONS, GENERAL SUBCLASS, BOUNDS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
A function said to be bi-Bazilevic in the open unit disk U if both the function and its inverse are Bazilevic there. In this paper, we will study a newly constructed class of bi-Bazilevic functions. Furthermore, we establish Chebyshev polynomial bounds for the coefficients, and get Fekete-Szego inequality, for the class B(beta, t).