Category:Definitions/Chebyshev Polynomials

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This category contains definitions related to Chebyshev Polynomials.
Related results can be found in Category:Chebyshev Polynomials.


Chebyshev Polynomials of the First Kind

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

\(\ds \map {T_n} {\cos \theta}\) \(=\) \(\ds \map \cos {n \theta}\)


Chebyshev Polynomials of the Second Kind

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

\(\ds \map {U_n} {\cos \theta} \sin \theta\) \(=\) \(\ds \map \sin {\paren {n + 1} \theta}\)


Source of Name

This entry was named for Pafnuty Lvovich Chebyshev.