Chebyshev representation for rational functions

Journal Article · Fri Jan 14 00:00:00 EST 2011 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2010V201N11ABEH004123; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21592582

Bogatyrev, Andrei B ^[1]

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1. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Region, Russian Frderation (Russian Federation)

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.

• OSTI ID: 21592582
• Journal Information: Sbornik. Mathematics, Vol. 201, Issue 11; Other Information: DOI: 10.1070/SM2010v201n11ABEH004123; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
DIAGRAMS
ELLIPTICAL CONFIGURATION
FUNCTIONS
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SET THEORY
CONFIGURATION
INFORMATION
MATHEMATICS