Coefficient bounds for new subclasses of bi-univalent functions

Caglar M., ORHAN H., Yagmur N.

FILOMAT, cilt.27, sa.7, ss.1165-1171, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 7
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2298/fil1307165c
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1165-1171
  • Anahtar Kelimeler: Analytic and univalent function, bi-univalent function, coefficient bounds
  • Atatürk Üniversitesi Adresli: Evet

Özet

In the present investigation, we consider two new subclasses N-Sigma(mu) (alpha, lambda) and N-Sigma(mu) (beta, lambda) of bi-univalent functions defined in the open unit disk U = {z : vertical bar z vertical bar < 1}. Besides, we find upper bounds for the second and third coefficients for functions in these new subclasses.