CERTAIN CLASSES OF ANALYTIC AND MULTIVALENT FUNCTIONS
DOI:
https://doi.org/10.5556/j.tkjm.29.1998.4275Keywords:
Analytic functions, multivalent functions, growth and distortion theorems, coefficient estimates, starlike functions, convex functionsAbstract
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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