- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- A new comprehensive subclass of analytic bi-close-to-convex functions
A new comprehensive subclass of analytic bi-close-to-convex functions
Authors : Serap Bulut
Pages : 1414-1424
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In a very recent work, Şeker and Sümer Eker [On subclasses of bi-close-to-convex functions related to the odd-starlike functions. Palestine Journal of Mathematics 2017; 6: 215-221] defined two subclasses of analytic bi-close-to-convex functions related to the odd-starlike functions in the open unit disk $\mathbb{U}$. The main purpose of this paper is to generalize and improve the results of Şeker and Sümer Eker (in the aforementioned study) defining a comprehensive subclass of bi-close-to-convex functions. Also, we investigate the Fekete-Szegö type coefficient bounds for functions belonging to this new class.Keywords : Analytic and univalent functions, bi-univalent functions, close-to-convex functions, starlike functions, subordination principle, Fekete-Szegö problem