Category:Chebyshev Polynomials

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This category contains results about Chebyshev Polynomials.
Definitions specific to this category can be found in Definitions/Chebyshev Polynomials.


Chebyshev Polynomial of the First Kind

The Chebyshev polynomials of the first kind are defined as polynomials such that:

\(\ds \map {T_n} x\) \(=\) \(\ds \map \cos {n \arccos x}\)

where $n \in \N$.


Chebyshev Polynomial of the Second Kind

The Chebyshev polynomials of the second kind are defined as polynomials such that:

\(\ds \map {U_n} x\) \(=\) \(\ds \dfrac {\map \sin {\paren {n + 1} \arccos x} } {\map \sin {\arccos x} }\)