COEFFICIENT BOUNDS FOR A GENERAL SUBCLASS OF BI-UNIVALENT FUNCTIONS

ALTINKAYA Ş., Yalcin S.

MATEMATICHE, cilt.71, sa.1, ss.89-97, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.4418/2016.71.1.7
  • Dergi Adı: MATEMATICHE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.89-97
  • Anahtar Kelimeler: Analytic and univalent functions, bi-univalent functions, coefficient bounds
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present investigation, we introduce and investigate a new subclass of the function class Sigma of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in the function class S-Sigma (n, h, lambda). The results presented in this paper improve or generalize the recent works of Jothibasu [13] and other authors.