MMN-2118

# Coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions

*Serap Bulut*;

## Abstract

In this paper, we introduce and investigate an interesting subclass $%
\mathcal{LB}_{\Sigma }^{h,p}\left( \lambda \right) $ of analytic and
bi-univalent functions in the open unit disk $\mathbb{U}$. For functions
belonging to the class $\mathcal{LB}_{\Sigma }^{h,p}\left( \lambda \right) $%
, we obtain estimates on the first two Taylor-Maclaurin coefficients $%
\left\vert a_{2}\right\vert $ and $\left\vert a_{3}\right\vert $. The
results presented in this paper would generalize and improve some recent
work of Joshi et al. \cite{JJP}.

Vol. 19 (2018), No. 1, pp. 149-156

DOI: 10.18514/MMN.2018.2118