A new comprehensive subclass of analytic bi-close-to-convex functions

Bulut S.

TURKISH JOURNAL OF MATHEMATICS, vol.43, pp.1414-1424, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43
  • Publication Date: 2019
  • Doi Number: 10.3906/mat-1902-21
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1414-1424
  • Kocaeli University Affiliated: Yes

Abstract

In a very recent work, Seker and Sumer 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 U. The main purpose of this paper is to generalize and improve the results of Seker and Sumer Eker (in the aforementioned study) defining a comprehensive subclass of bi-close-to-convex functions. Also, we investigate the Fekete-Szego type coefficient bounds for functions belonging to this new class.