On Bazilevic functions and Umezawa's lemma

Mamoru Nunokawa, Janusz Sokol


We consider some  properties on $|z|=r<1$ of analytic functions  in
the unit disk $|z|<1$. Applying Umezawa's lemma, {\it On the theory
of univalent functions}, Tohoku Math J. 7(1955) 212--228, we prove
some sufficient conditions for functions to be in the class of
Bazilevic functions and some related results.


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