Fekete-Szego problem for a general subclass of analytic functions

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UYANIK N.

TURKISH JOURNAL OF MATHEMATICS, vol.43, no.5, pp.2568-2577, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.3906/mat-1907-83
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2568-2577
  • Keywords: Fekete-Szego problem, analytic functions, starlike and convex functions of complex order, linear multiplier differential operator
  • Anadolu University Affiliated: No

Abstract

In this present investigation, we introduced a certain subclass of starlike and convex functions of complex order b, using a linear multiplier differential operator D(lambda,mu)(m)f (z). For this class, the Fekete-Szego problem is completely solved. Various new special cases are considered.