An explicit univariate and radical parametrization of the sextic proper Zolotarev polynomials in power form

@inproceedings{Rack2019AnEU,
  title={An explicit univariate and radical parametrization of the sextic proper Zolotarev polynomials in power form},
  author={Heinz-Joachim Rack and Robert Vajda},
  year={2019}
}
The problem to determine an explicit one-parameter power form representation of the proper Zolotarev polynomials of degree $n$ and with uniform norm $1$ on $[-1,1]$ can be traced back to P. L. Chebyshev. It turned out to be complicated, even for small values of $n$. Such a representation was known to A. A. Markov (1889) for $n=2$ and $n=3$. But already for $n=4$ it seems that nobody really believed that an explicit form can be found. As a matter of fact it was, by V. A. Markov in 1892, as A… CONTINUE READING
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