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 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:
| \(\ds \map {U_n} x\) | \(=\) | \(\ds \dfrac {\map \sin {\paren {n + 1} \arccos x} } {\map \sin {\arccos x} }\) |
Source of Name
This entry was named for Pafnuty Lvovich Chebyshev.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Definitions/Chebyshev Polynomials"
The following 7 pages are in this category, out of 7 total.