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.
Keywords : Starlike functions, Hadamard product, Radii of convexity, Salagean operator, p-valent
MSC numbers : Primary 30C45
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