Bull. Korean Math. Soc. 2004; 41(1): 53-71
Printed March 1, 2004
Copyright © The Korean Mathematical Society.
Muhammet Kamali and Halit Orhan
Ataturk Universitesi, Ataturk Universitesi
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
2023; 60(6): 1477-1496
2023; 60(2): 389-404
2018; 55(2): 599-610
2014; 51(6): 1625-1647
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd