CERTAIN CLASSES OF ANALYTIC AND MULTIVALENT FUNCTIONS

Main Article Content

H. M. ROSSEN
H. M. SRIVASTAVA
M. K. AOUF

Abstract




The main object of the present paper is to investigate the special classes


\[\mathcal P_\alpha^*(p, A, B) \text { and } \mathcal R_\alpha^*(p, A, B) \]


\[(0\le \alpha<p; -a\le B<A\le 1; p\in\mathbb{N})\]


of analytic and $p$-valent functions in the open unit disk $U$. In particular, various growth and distortion theorems, and several coefficient estimates, are obtained for these as well as related classes of analytic and $p$-valent functions in $\mathcal U$.




Article Details

How to Cite
ROSSEN, H. M., SRIVASTAVA, H. M., & AOUF, M. K. (1998). CERTAIN CLASSES OF ANALYTIC AND MULTIVALENT FUNCTIONS. Tamkang Journal of Mathematics, 29(3), 233–244. https://doi.org/10.5556/j.tkjm.29.1998.4275
Section
Papers

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