Bulletin of the
Korean Mathematical Society BKMS

A certain subclass $T_{\Omega }(n,p,\lambda ,\alpha )$of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class $T_{\Omega }(n,p,\lambda ,\alpha ).$ Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class $T_{\Omega }(n,p,\lambda ,\alpha )$ are determined. Also we obtain radii of convexity for the class $T_{\Omega }(n,p,\lambda ,\alpha ).$ Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $T_{\Omega }(n,p,\lambda ,\alpha )$ are studied here.

Keywords: Starlike functions, Hadamard product, Radii of convexity, Salagean operator, p-valent

MSC numbers: Primary 30C45