On starlike functions related with the convex conic domain

Document Type : Research Paper


1 Department of Mathematics and Statistics‎, ‎University of Turku‎, ‎Turku‎, ‎Finland

2 University of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszow, Poland


‎In the present paper‎, ‎we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class‎. ‎Also‎, ‎by using the Hadamard product‎, ‎we define a new general operator and find a condition such that it belongs to the class $\mathcal{M}_p(\alpha,\beta)$‎.