Formula:KLS:09.06:14

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formula in Dual Hahn

Formula:KLS:09.06:15 >>

${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\lambda(x+1);\gamma,\delta,N\right)-R_{n}\!\left(\lambda(x);\gamma,\delta,N\right){}=-\frac{n(2x+\gamma+\delta+2)}{(\gamma+1)N}R_{n-1}\!\left(\lambda(x);\gamma+1,\delta,N-1\right)}}}$

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 in Dual Hahn

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