An algorithm for finding low degree rational solutions to the Schur coefficient problem

Details An algorithm for finding low degree rational solutions to the Schur coefficient problem An algorithm for finding low degree rational solutions to the Schur coefficient problem

2009-12-26

arxiv.org/abs/0912.5034v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We present an algorithm producing all rational functions $f$ with prescribed
$n+1$ Taylor coefficients at the origin and such that $\|f\|_\infty\le 1$ and
$\deg f\le k$ for every fixed $k\ge n$. The case where $k

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