Polyanalytic functions with exceptional values
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- by P. Krajkiewicz PDF
- Trans. Amer. Math. Soc. 197 (1974), 181-210 Request permission
Abstract:
Let $f(z) = \sum \nolimits _{k = 0}^n {{{\bar z}^k}{f_k}(z)}$ where the functions ${f_0},{f_1}, \cdots ,{f_n}$ are analytic on some annular neighborhood A of the point $\infty$ and ${f_n} \equiv 1$ on A and z denotes the complex conjugate of z. If f does not vanish on A it is shown that the functions ${f_0},{f_1}, \cdots ,{f_{n - 1}}$ have a nonessential isolated singularity at the point infinity.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 197 (1974), 181-210
- MSC: Primary 30A92; Secondary 30A70
- DOI: https://doi.org/10.1090/S0002-9947-1974-0350024-7
- MathSciNet review: 0350024