On a Class of Analytic Functions Defined by a Fractional Operator

In this paper, the author studies the fractional operator Dλν,n:A→A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {D}_\lambda ^{\nu , n}:\mathcal {A}\rightarrow \mathcal {A}$$\end{document}, for -∞<λ<2,ν>-1,n∈N0={0,1,2,…}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-\infty<\lambda <2, \nu >-1, n\in \mathbb {N}_0=\{0,1,2,\ldots \}$$\end{document}, introduced in a recent work. A class of analytic functions defined by this operator is introduced. Inclusion relations, convolution property, extreme points of the class and other results are given. Corollaries based on the results are also given.