Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1902-21
Keywords
Analytic and univalent functions, bi-univalent functions, close-to-convex functions, starlike functions, subordination principle, Fekete-Szegö problem
First Page
1414
Last Page
1424
Recommended Citation
BULUT, SERAP
(2019)
"A new comprehensive subclass of analytic bi-close-to-convex functions,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 26.
https://doi.org/10.3906/mat-1902-21
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/26
