Formula:KLS:09.08:26

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formula in Jacobi: Special cases

Formula:KLS:09.08:27 >>

${\displaystyle{\displaystyle{\displaystyle C^{\lambda}_{n}\left(1\right)=\frac{{\left(2\lambda\right)_{n}}}{n!}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle C^{\mu}_{n}}}}$ : ultraspherical/Gegenbauer polynomial : http://dlmf.nist.gov/18.3#T1.t1.r5
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:25

formula in Jacobi: Special cases

Formula:KLS:09.08:27 >>