SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY HYPERGEOMETRIC FUNCTIONS

ORHAN H., ÇAĞLAR M., ARIKAN H.

Afrika Matematika, vol.34, no.18, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 18
  • Publication Date: 2023
  • Doi Number: 10.1007/s13370-023-01063-7
  • Journal Name: Afrika Matematika
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: Analytic functions, Univalent functions, Hypergeometric functions, Fekete-Szego problem, Hankel determinant, UNIVALENT, STARLIKE, INEQUALITY
  • Ataturk University Affiliated: Yes

Abstract

In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szego inequalities for a new subclass of analytic functions in the open unit disk defined by the hypergeometric functions. Moreover, several interesting applications of the results presented here are also discussed.