Second Hankel Determinant Problem for k-bi-starlike Functions

ORHAN H., TOKLU E., KADIOĞLU E.

FILOMAT, vol.31, no.12, pp.3897-3904, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 12
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1712897o
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3897-3904
  • Keywords: analytic and univalent functions, bi-univalent functions, Hankel determinant, k-bi-starlike function, UNIVALENT-FUNCTIONS, COEFFICIENT BOUNDS, GENERAL SUBCLASS, CONVEX-FUNCTIONS
  • Ataturk University Affiliated: Yes

Abstract

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.