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Limiting values of rational functions at the points of discontinuity

Yaacov Tzeitlin
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Abstract

In the present article we describe a class of algebraic curves on which rational functions of two arguments may reach all their possible limiting values. We also solve a similar question for functions that can be represented as a uniform limit of a sequence of bounded rational functions.

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Yaacov Tzeitlin. 2000-07-12. Limiting values of rational functions at the points of discontinuity. https://arxiv.org/abs/math/0007075

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