Convex subclass of harmonic starlike functions

Ozturk M., Yalcin S., Yamankaradeniz M.

Applied Mathematics and Computation, cilt.154, sa.2, ss.449-459, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 154 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00725-2
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.449-459
  • Anahtar Kelimeler: harmonic, univalent, starlike, convex, UNIVALENT-FUNCTIONS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Complex valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f=h+ḡ, where h and g are analytic in U. We define and investigate a convex subclass of harmonic starlike functions of order α (0≤α<1). We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions, and convex combination for the above class of harmonic functions. © 2003 Elsevier Inc. All rights reserved.