MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Certain bounded functions of complex order
M. K. Aouf and A. O. Mostafa

Abstract

In this paper we obtain sharp coefficient bounds for functions analytic in the unit disc $U$ and belonging to the class $R(b,M)$, $b\neq 0$ is a complex number. Also, we maximize $| a_{3}-\mu a_{2}^{2}| $ over the class $R(b,M)$ and obtain distortion theorem for functions in this class.

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Keywords: Analytic functions; complex order; starlike functions; bounded functions.

MSC: 30C45

Pages:  109--116     

Volume  62 ,  Issue  2 ,  2010