Formula:KLS:09.07:08

<< Formula:KLS:09.07:07

formula in Meixner-Pollaczek

Formula:KLS:09.07:09 >>

${\displaystyle{\displaystyle{\displaystyle\frac{\delta P^{(\lambda)}_{n}\!\left(x;\phi\right)}{\delta x}=2\sin\phi\,P^{(\lambda+\frac{1}{2})}_{n-1}\!\left(x;\phi\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle P^{(\alpha)}_{n}}}}$ : Meixner-Pollaczek polynomial : http://dlmf.nist.gov/18.19#P3.p1
${\displaystyle{\displaystyle{\displaystyle\mathrm{sin}}}}$ : sine function : http://dlmf.nist.gov/4.14#E1

Bibliography

Equation in Section 9.7 of KLS.

URL links

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<< Formula:KLS:09.07:07

formula in Meixner-Pollaczek

Formula:KLS:09.07:09 >>