Formula:KLS:09.02:31

<< Formula:KLS:09.02:30

formula in Racah

Formula:KLS:09.02:32 >>

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

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
${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3

Bibliography

Equation in Section 9.2 of KLS.

URL links

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<< Formula:KLS:09.02:30

formula in Racah

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