Faber Polynomial Expansion for a New Subclass of Bi-univalent Functions Endowed with (p,q) Calculus Operators
Fundamental journal of mathematics and applications (Online), cilt.4, sa.1, ss.17-24, 2021 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.33401/fujma.831447
- Dergi Adı: Fundamental journal of mathematics and applications (Online)
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.17-24
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
In this paper, we use the Faber polynomial expansion techniques to get the general TaylorMaclaurin coefficient estimates for |an|, (n ≥ 4) of a generalized class of bi-univalentfunctions by means of (p,q)−calculus, which was introduced by Chakrabarti and Jagannathan. For functions in such a class, we get the initial coefficient estimates for |a2| and|a3|. In particular, the results in this paper generalize or improve (in certain cases) thecorresponding results obtained by recent researchers.