Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials

ORHAN H., Toklu E., KADIOĞLU E.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.4, pp.1927-1940, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1706-83
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1927-1940
  • Keywords: Univalent function, bi-univalent function, coefficient bounds, Chebyshev polynomial, Hankel determinant, convolution
  • Ataturk University Affiliated: Yes

Abstract

In this paper our purpose is to find the upper bound estimate for the second Hankel determinant vertical bar a(2)a(4) - a(3)(2)vertical bar for functions defined by convolution belonging to the class N-sigma(mu,delta )(lambda, t) by using Chebyshev polynomials.