On a subclass of certain starlike functions with negative coefficients

Bull. Korean Math. Soc. 2004 Vol. 41, No. 1, 53-71 Printed March 1, 2004

Muhammet Kamali and Halit Orhan Ataturk Universitesi, Ataturk Universitesi

Abstract : 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.