On normality of Blaschke quotients

Colonna, Flavia

doi:10.1090/S0002-9939-1988-0915719-8

On normality of Blaschke quotients
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by Flavia Colonna PDF

Proc. Amer. Math. Soc. 102 (1988), 71-77 Request permission

Abstract:

In this paper we give conditions on the zeros and poles of a Blaschke quotient in order to obtain a normal meromorphic function, extending the condition for normality given by Cima and Colwell to the case of zeros and poles forming interpolating sequences and of bounded multiplicities. It is also shown that a similar characterization does not apply in the case of unbounded multiplicities.

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