Formula:KLS:09.06:27

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formula in Dual Hahn

Formula:KLS:09.06:28 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{\beta\rightarrow\infty}R_{n}\!\left(\lambda(x);\alpha,\beta,-N-1,\alpha+\delta+N+1\right)=R_{n}\!\left(\lambda(x);\alpha,\delta,N\right)}}}$

Substitution(s)

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

Proof

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Symbols List

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