On starlike functions related with the convex conic domain

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 use of the Hadamard product, we define a general operator and find a condition such that it belongs to the class ${\mathcal{M}}_p(\alpha ,\beta )$.