A GENERALIZATION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS
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Abstract
There are many classes of analytic functions in the unit disc $U$. We consider about the special classes $S^*_\lambda(A,B,\alpha,\beta)$ and $C^*_\lambda(A,B,\alpha,\beta)$( $-1\le A < B \le 1$, $0 < B \le 1$, $0 \le \alpha < 1$ and $0 < \beta \le 1$) of analytic functions in the unit disc $U$. And the purpose of this paper is to study the classes $S^*_\lambda(A,B,\alpha,\beta)$ and $C^*_\lambda(A,B,\alpha,\beta)$. We prove some distortion theorems and some coefficient estimates for these classes $S^*_\lambda(A,B,\alpha,\beta)$ and $C^*_\lambda(A,B,\alpha,\beta)$.
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