CERTAIN CLASSES OF ANALYTIC AND MULTIVALENT FUNCTIONS

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Published: Sep 1, 1998
DOI: https://doi.org/10.5556/j.tkjm.29.1998.4275
Keywords:
Analytic functions multivalent functions growth and distortion theorems coefficient estimates starlike functions convex functions

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H. M. ROSSEN
Department of Mathematics, Faculty of Science, University of Mansoura, Mansours, Egypt.
H. M. SRIVASTAVA
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada.
M. K. AOUF
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada.

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 $\mathcal U$.




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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
Issue
Vol. 29 No. 3 (1998)
Section
Papers
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