Formula:KLS:09.02:22

<< Formula:KLS:09.02:21

formula in Racah

Formula:KLS:09.02:23 >>

${\displaystyle{\displaystyle{\displaystyle\frac{\nabla\left[\omega(x;\alpha,\beta,\gamma,\delta)\Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}\right]}{\nabla\lambda(x)}{}=\frac{1}{\gamma+\delta}\omega(x;\alpha-1,\beta-1,\gamma-1,\delta)\Racah{n+1}@{\lambda(x)}{\alpha-1}{\beta-1}{\gamma-1}{\delta}}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle\lambda(x)=x(x+\gamma+\delta+1)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : Racah polynomial : http://dlmf.nist.gov/18.25#T1.t1.r4

Bibliography

Equation in Section 9.2 of KLS.

URL links

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<< Formula:KLS:09.02:21

formula in Racah

Formula:KLS:09.02:23 >>