Faber Polynomial Expansion for a New Subclass of Bi-univalent Functions Endowed with $(p,q)$ Calculus Operators

Authors : Om P AHUJA, Asena ÇETİNKAYA

Pages : 17-24

Doi:10.33401/fujma.831447

View : 24 | Download : 12

Publication Date : 2021-03-01

Article Type : Research Paper

Abstract :In this paper, we use the Faber polynomial expansion techniques to get the general Taylor-Maclaurin coefficient estimates for $|a_n|,\ insert ignore into journalissuearticles values(n\geq 4);$ of a generalized class of bi-univalent functions by means of $insert ignore into journalissuearticles values(p,q);-$calculus, which was introduced by Chakrabarti and Jagannathan. For functions in such a class, we get the initial coefficient estimates for $|a_2|$ and $|a_3|.$ In particular, the results in this paper generalize or improve insert ignore into journalissuearticles values(in certain cases); the corresponding results obtained by recent researchers.
Keywords : Faber polynomial expansion, Bi univalent functions p, q, calculus