A GENERALIZATION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS

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M. K. AOUF

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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How to Cite
AOUF, M. K. (1994). A GENERALIZATION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS. Tamkang Journal of Mathematics, 25(1), 41–51. https://doi.org/10.5556/j.tkjm.25.1994.4424
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Papers

References

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