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

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ORHAN H., Cotirla L.

AXIOMS, cilt.11, sa.10, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 10
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/axioms11100560
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Fekete-Szego problem, analytic functions, starlike and convex functions, subordination, Ruscheweyh differential operator, Poisson distribution series, CONVEX-FUNCTIONS, RADIUS PROBLEMS, STARLIKE
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Atatürk Üniversitesi Adresli: Evet

Özet

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.