The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains

ORHAN H., Deniza E., Raducanu D.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.59, sa.1, ss.283-295, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.camwa.2009.07.049
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.283-295
  • Anahtar Kelimeler: Fekete-Szego problem, beta-uniformly convex functions, Conic domain, Hadamard product, Linear multiplier fractional differential operator, UNIFORMLY CONVEX, STARLIKE, UNIVALENT
  • Atatürk Üniversitesi Adresli: Evet

Özet

By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized beta-uniformly convex functions, denoted by beta-SP(lambda,mu)(n,alpha)(gamma), is introduced. For this class the Fekete-Szego problem is completely solved. Various known or new special cases of our results are also pointed out. (C) 2009 Elsevier Ltd. All rights reserved.