Formula:KLS:09.08:54

<< Formula:KLS:09.08:53

formula in Jacobi: Special cases

Formula:KLS:09.08:55 >>

${\displaystyle{\displaystyle{\displaystyle U_{n}\left(x\right)=2^{n}{\widehat{U}}_{n}\left(x\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle U_{n}}}}$ : Chebyshev polynomial of the second kind : http://dlmf.nist.gov/18.3#T1.t1.r11
${\displaystyle{\displaystyle{\displaystyle{\widehat{U}}_{n}}}}$ : monic Chebyshev polynomial of the second kind : http://drmf.wmflabs.org/wiki/Definition:monicChebyU

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:53

formula in Jacobi: Special cases

Formula:KLS:09.08:55 >>