Formula:KLS:09.08:93

<< Formula:KLS:09.08:92

formula in Jacobi: Special cases

Formula:KLS:09.08:94 >>

${\displaystyle{\displaystyle{\displaystyle\frac{1}{\sqrt{1-2xt+t^{2}}}=\sum_{n=0}^{\infty}\LegendrePoly{n}@{x}t^{n}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : Legendre polynomial : http://dlmf.nist.gov/18.3#T1.t1.r25

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:92

formula in Jacobi: Special cases

Formula:KLS:09.08:94 >>