A Generalization of Silvia Class of Functions
Commun. Korean Math. Soc. 1997 Vol. 12, No. 4, 881-893
Suk Young Lee, Myung Sun Oh
Ewha Womans University, Ewha Womans University
Abstract : E. M. Silvia introduced the class $\Cal S_{\alpha}^{\lambda}$ of ${\alpha}$-${\lambda}$-spirallike functions $f(z)$ satisfying the condition $$ Re[(e^{i\lambda}-\alpha)\frac{zf'(z)}{f(z)} + \alpha \frac{(zf'(z))'}{f'(z)}] > 0, \tag A $$ where $\alpha \geq 0, |\lambda|< \frac{\pi}{2}$ and $|z|
Keywords : $\alpha$-convex function, $\alpha$-$\lambda$-spirallike function
MSC numbers : Primary 30C32
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