The (p, q)-Chebyshev polynomial bounds of a general bi-univalent function class

In the present paper, we will define the bi-univalent function class SΣη,μp,q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal {S}_{\varSigma }^{\eta ,\mu }\left( p,q\right) $$\end{document} related to the (p, q)-Chebyshev polynomials. Then we will derive the (p, q)-Chebyshev polynomial bounds for the initial coefficients and determine Fekete–Szegö functional for f∈SΣη,μp,q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\in \mathcal {S}_{\varSigma }^{\eta ,\mu }\left( p,q\right) $$\end{document}.