Formula:KLS:09.08:08

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formula in Jacobi: Special cases

Formula:KLS:09.08:09 >>

${\displaystyle{\displaystyle{\displaystyle\frac{d}{dx}C^{\lambda}_{n}\left(x\right)=2\lambda C^{\lambda+1}_{n-1}\left(x\right)}}}$

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

Bibliography

Equation in Section 9.8 of KLS.

URL links

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<< Formula:KLS:09.08:07

formula in Jacobi: Special cases

Formula:KLS:09.08:09 >>