Second Hankel determinant for bi-starlike and bi-convex functions of order beta

Deniz E., Caglar M., ORHAN H.

APPLIED MATHEMATICS AND COMPUTATION, vol.271, pp.301-307, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 271
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.09.010
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.301-307
  • Keywords: Bi-univalent functions, Bi-starlike functions of order beta, Bi-convex functions of order beta, Seamd Hankel determinant, COEFFICIENT BOUNDS, GENERAL SUBCLASS, UNIVALENT
  • Ataturk University Affiliated: Yes

Abstract

In the present investigation the authors obtain upper bounds for the second Hankel determinant H-2(2) of the classes bi-starlike and bi-convex functions of order beta, represented by S-sigma*(beta) and K-sigma(beta), respectively. In particular, the estimates for the second Hankel determinant H-2(2) of bi-starlike and bi-convex functions which are important subclasses of bi-univalent functions are pointed out. (C) 2015 Elsevier Inc. All rights reserved.