Fekete-Szego Inequalities for Some Certain Subclass of Analytic Functions Defined with Ruscheweyh Derivative Operator

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ORHAN H., Cotirla L.

AXIOMS, vol.11, no.10, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 10
  • Publication Date: 2022
  • Doi Number: 10.3390/axioms11100560
  • Journal Name: AXIOMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Fekete-Szego problem, analytic functions, starlike and convex functions, subordination, Ruscheweyh differential operator, Poisson distribution series, CONVEX-FUNCTIONS, RADIUS PROBLEMS, STARLIKE
  • Ataturk University Affiliated: Yes

Abstract

In our present investigation, we introduce and study some new subclasses of analytic functions associated with Ruscheweyh differential operator D-r. We obtain a Fekete-Szego inequality for certain normalized analytic function defined on the open unit disk for which [(D(r)l)'(z)](theta) (z(D(r)l)'(z)/(D(r)l)(z))(1-theta) (sic) e(z) (0 <= theta <= 1) lies in a starlike region with respect to 1 and symmetric with respect to the real axis. As a special case of this result, the Fekete-Szego inequality for a class of functions defined through Poisson distribution series is obtained.