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Chebyshev rational functions : ウィキペディア英語版
Chebyshev rational functions
:''This article is not about the Chebyshev rational functions used in the design of elliptic filters. For those functions, see Elliptic rational functions.''
In mathematics, the Chebyshev rational functions are a sequence of functions which are both rational and orthogonal. They are named after Pafnuty Chebyshev. A rational Chebyshev function of degree ''n'' is defined as:
:R_n(x)\ \stackrel\ T_n\left(\frac\right)
where T_n(x) is a Chebyshev polynomial of the first kind.
== Properties==

Many properties can be derived from the properties of the Chebyshev polynomials of the first kind. Other properties are unique to the functions themselves.

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