Limiting values of rational functions at the points of discontinuity

Details Limiting values of rational functions at the points of discontinuity Limiting values of rational functions at the points of discontinuity

2000-07-12

arxiv.org/abs/math/0007075v1

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

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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