Some hyperbolic classes of analytic functions in the unit disk

We introduce the hyperbolic Fg∗(p,q,s)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F^*_{g}(p,q,s) $$\end{document} and Fφ∗(p,q,s)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F^*_{\varphi }( p,q,s) $$\end{document} classes of holomorphic functions defined in the unit disk of C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}$$\end{document}, with the aim of generalizing previous works of Zhao (Ann Acad Sci Fenn Math Diss 105, 1996a; Acta Math Sci 16:349–360, 1996b) and Li (Ann Acad Sci Fenn Math Diss 145, 2005). We give some interesting properties and characterizations in terms of other weighted hyperbolic classes.