Admissible functionals and infinite-valent functions

1999 
We investigate some criteria of p-vaience for conformal mappings. In particular, we show that for any z>0 and any n∊N there exists n-valent analytic function f(z) such that . This result is connected with theorem by J.Becker and Ch. Pommerenke. A generalization of Goodman's theorem is also provided.
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