The Fekete-Szego inequality for subclasses of analytic functions related to modified Sigmoid functions

Kamali M., ORHAN H., ÇAĞLAR M.

TURKISH JOURNAL OF MATHEMATICS, vol.44, no.3, pp.1016-1026, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.3906/mat-1910-85
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1016-1026
  • Keywords: Analytic functions, modified Hadamard product, Sigmoid function, Fekete-Szego inequality
  • Ataturk University Affiliated: Yes

Abstract

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete-Szego inequality for these classes are discussed.