A note on subordination

Mathematics – Complex Variables

Scientific paper

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Scientific paper

In this paper we present a result about analytic functions f defined on the
open unit disc and with a finite number of exceptional values containedin the
real interval (0, 1). We find an upper bound for the modulus of f' in 0. This
bound is sharp in the case of one exceptional value. We also analyzed the case
of two exceptional values.

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