THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

ORHAN H., ZAPRAWA P.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.55, no.1, pp.165-173, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.4134/bkms.b160916
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.165-173
  • Keywords: Hankel determinant, starlike functions, convex functions, n-fold symmetric functions
  • Ataturk University Affiliated: Yes

Abstract

In this paper we obtain the bounds of the third Hankel determinants for the classes S*(alpha) of starlike functions of order alpha and K(alpha) of convex functions of order alpha. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.