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arXiv · 0910.3578

Characterization of polyanalytic functions by meromorphic extensions into chains of circles

Mark L. Agranovsky
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Abstract

One-parameter smooth families of circles in the complex plane with the following property are described: a function is polyanalytic if and only if it has meromorphic extension inside any circle from the family, with the only singularity-a pole at the center.

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Mark L. Agranovsky. 2009-11-10. Characterization of polyanalytic functions by meromorphic extensions into chains of circles. https://arxiv.org/abs/0910.3578

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