Faber Polynomial Expansion for a New Subclass of Bi-univalent Functions Endowed with (p,q) Calculus Operators
Fundamental journal of mathematics and applications (Online), vol.4, no.1, pp.17-24, 2021 (TRDizin)
- Publication Type: Article / Article
- Volume: 4 Issue: 1
- Publication Date: 2021
- Doi Number: 10.33401/fujma.831447
- Journal Name: Fundamental journal of mathematics and applications (Online)
- Journal Indexes: TR DİZİN (ULAKBİM)
- Page Numbers: pp.17-24
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul Kültür University Affiliated: Yes
Abstract
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.