Nevanlinna functions as quotients

Doubtsov, Evgueni

doi:10.1090/S0002-9939-00-05446-0

Nevanlinna functions as quotients
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by Evgueni Doubtsov

Proc. Amer. Math. Soc. 128 (2000), 2899-2901

DOI: https://doi.org/10.1090/S0002-9939-00-05446-0

Published electronically: February 28, 2000

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Abstract:

Let $f$ be a holomorphic function in the unit ball. Then $f$ is a Nevanlinna function if and only if there exist Smirnov functions $f_+$, $f_-$ such that $f = f_+/f_-$ and $f_-$ has no zeros in the ball.

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