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DOE OSTI · 21592582

Chebyshev representation for rational functions

Bogatyrev, Andrei B
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Abstract

An effective representation is obtained for rational functions all of whose critical points, apart from g-1, are simple and their corresponding critical values lie in a four-element set. Such functions are described using hyperelliptic curves of genus g{>=}1. The classical Zolotarev fraction arises in this framework for g=1. Bibliography: 8 titles.

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97 MATHEMATICS AND COMPUTINGCONFIGURATIONDIAGRAMSELLIPTICAL CONFIGURATIONFUNCTIONSINFORMATIONMATHEMATICAL LOGICMATHEMATICSSET THEORY

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Bogatyrev, Andrei B. 2011-01-14. Chebyshev representation for rational functions. https://doi.org/10.1070/sm2010v201n11abeh004123%3B%20country%20of%20input%3A%20international%20atomic%20energy%20agency%20(iaea)

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