The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains
COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.59, sa.1, ss.283-295, 2010 (SCI-Expanded, Scopus)
- 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
- 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.