THE FEKETE-SZEGO PROBLEM FOR A CLASS OF ANALYTIC FUNCTIONS DEFINED BY DZIOK-SRIVASTAVA OPERATOR

Deniz, Erhan; ÇAĞLAR, Murat; ORHAN, Halit

doi:10.2996/kmj/1352985448

THE FEKETE-SZEGO PROBLEM FOR A CLASS OF ANALYTIC FUNCTIONS DEFINED BY DZIOK-SRIVASTAVA OPERATOR

Deniz E., ÇAĞLAR M., ORHAN H.

KODAI MATHEMATICAL JOURNAL, cilt.35, sa.3, ss.439-462, 2012 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 35 Sayı: 3
Basım Tarihi: 2012
Doi Numarası: 10.2996/kmj/1352985448
Dergi Adı: KODAI MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.439-462
Anahtar Kelimeler: Fekete-Szego problem, k-uniformly convex function, k-parabolic starlike function, Conic domain, Hadamard product, Dziok-Srivastava operator
Atatürk Üniversitesi Adresli: Evet

Özet

By using Dziok-Srivastava operator a new subclass of analytic functions generalized k-parabolic starlike functions, denoted by k - SPl,m(alpha(1);gamma), is introduced. For this class the Fekete-Szego problem is completely solved. Various known or new special cases of our results are also point out.