FABER POLYNOMIAL COEFFICIENT ESTIMATES FOR BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON SUBORDINATE CONDITIONS INVOLVING OF THE JACKSON (p, q)-DERIVATIVE


Altınkaya Ş., Yalcin S.

MISKOLC MATHEMATICAL NOTES, cilt.18, sa.2, ss.555-572, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.18514/mmn.2017.2207
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.555-572
  • Anahtar Kelimeler: bi-univalent functions, Faber polynomials, (p,q)-derivative operator, SUBCLASS, BOUNDS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present paper, new subclasses of bi-univalent functions of complex order associated with the (p,q)-derivative are introduced. Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients of functions belonging to these classes.