Formula:KLS:09.06:17

<< Formula:KLS:09.06:16

formula in Dual Hahn

Formula:KLS:09.06:18 >>

${\displaystyle{\displaystyle{\displaystyle\frac{\nabla\left[\omega(x;\gamma,\delta,N)R_{n}\!\left(\lambda(x);\gamma,\delta,N\right)\right]}{\nabla\lambda(x)}{}=\frac{1}{\gamma+\delta}\omega(x;\gamma-1,\delta,N+1)R_{n+1}\!\left(\lambda(x);\gamma-1,\delta,N+1\right)}}}$

Substitution(s)

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r5

Bibliography

Equation in Section 9.6 of KLS.

URL links

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<< Formula:KLS:09.06:16

formula in Dual Hahn

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