A new subclass of complex harmonic functions

Yalcin S., Ozturk M.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.7, sa.1, ss.55-61, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.7153/mia-07-07
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.55-61
  • Anahtar Kelimeler: harmonic functions, univalent functions, extreme points, distortion bounds, 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 + (g) over bar, where h and g are analytic in U. In this paper, we introduce a class HP(alpha), (alpha greater than or equal to 0) of functions which are harmonic in U. We give sufficient coefficient conditions for normalized harmonic functions in HP(alpha). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.