Faber polynomial coefficient estimates for certain classes of bi-univalent functions defined by using the Jackson (p, q) -derivative operator

Altınkaya, ŞAHSENE; Yalcin, SİBEL

doi:10.22436/jnsa.010.06.21

Faber polynomial coefficient estimates for certain classes of bi-univalent functions defined by using the Jackson (p, q) -derivative operator

Altınkaya Ş., Yalcin S.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.10, sa.6, ss.3067-3074, 2017 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 10 Sayı: 6
Basım Tarihi: 2017
Doi Numarası: 10.22436/jnsa.010.06.21
Dergi Adı: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), zbMATH
Sayfa Sayıları: ss.3067-3074
Anahtar Kelimeler: Analytic functions, common fixed point, bi-univalent functions, Faber polynomials, SUBCLASS
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this work, we introduce a new subclass of bi-univalent functions under the D-p,D-q operator. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. (C) 2017 All rights reserved.