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

Authors : Om P. Ahuja, Asena Çetinkaya

Pages : 17-24

Doi:10.33401/fujma.831447

View : 19 | Download : 7

Publication Date : 2021-03-01

Article Type : Research

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