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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Exceptional values of analytic functions


Author: P. Krajkiewicz
Journal: Proc. Amer. Math. Soc. 40 (1973), 159-165
MSC: Primary 30A72
DOI: https://doi.org/10.1090/S0002-9939-1973-0330466-0
MathSciNet review: 0330466
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Abstract: Let $ g(z)$ be an analytic function with an isolated singularity at $ {z_0}$ and let $ f(z)$ be a nonanalytic multianalytic function with a nonessential isolated singularity at $ {z_0}$. It is shown that if $ g(z) - f(z)$ does not vanish in some deleted neighborhood of $ {z_0}$, then $ {z_0}$ is a nonessential singularity of $ g(z)$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0330466-0
Keywords: Exceptional values, analytic functions, multianalytic functions, fixed points, quasinormal families
Article copyright: © Copyright 1973 American Mathematical Society

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