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Proceedings of the American Mathematical Society

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



Bianalytic functions with exceptional values

Author: P. Krajkiewicz
Journal: Proc. Amer. Math. Soc. 38 (1973), 75-79
MSC: Primary 30A92
MathSciNet review: 0313519
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Abstract: Let $ f(z,\bar z)$ be a bianalytic function which omits the value zero in some deleted neighborhood $ A$ of an isolated singularity $ {z_0}$. It is shown that there is a function $ g(z)$ analytic on $ A$ and a function $ h(z,\bar z)$ bianalytic on $ A$ with a nonessential singularity at $ {z_0}$ such that $ f(z,\bar z) = g(z)h(z,\bar z)$ on $ A$.

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Keywords: Bianalytic functions, polyanalytic functions, isolated singularity, exceptional values, Picard theorem, quasi normal families
Article copyright: © Copyright 1973 American Mathematical Society

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