Formula:KLS:09.01:34

<< Formula:KLS:09.01:33

formula in Wilson

Formula:KLS:09.01:35 >>

${\displaystyle{\displaystyle{\displaystyle{\tilde{W}}_{n}\!\left(x^{2};a,b,c,d\right)=\frac{W_{n}\!\left(x^{2};a,b,c,d\right)}{{\left(a+b\right)_{n}}{\left(a+c\right)_{n}}{\left(a+d\right)_{n}}}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{\tilde{W}}_{n}}}}$ : normalized Wilson polynomial ${\displaystyle{\displaystyle{\displaystyle{\tilde{W}}}}}$ : http://drmf.wmflabs.org/wiki/Definition:normWilsonWtilde
${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$ : Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 9.1 of KLS.

URL links

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<< Formula:KLS:09.01:33

formula in Wilson

Formula:KLS:09.01:35 >>