Formula:KLS:09.08:62

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formula in Jacobi: Special cases

Formula:KLS:09.08:63 >>

${\displaystyle{\displaystyle{\displaystyle\frac{1-xt}{1-2xt+t^{2}}=\sum_{n=0}^{\infty}T_{n}\left(x\right)t^{n}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle T_{n}}}}$ : Chebyshev polynomial of the first kind : http://dlmf.nist.gov/18.3#T1.t1.r8

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:61

formula in Jacobi: Special cases

Formula:KLS:09.08:63 >>