Formula:KLS:09.05:38

<< Formula:KLS:09.05:37

formula in Hahn

Formula:KLS:09.06:01 >>

${\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(x;\alpha,\beta,N\right)=R_{x}\!\left(n(n+\alpha+\beta+1);\alpha,\beta,N\right)(n,x\in\{0,1,\ldots N\})}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r5
${\displaystyle{\displaystyle{\displaystyle\in}}}$ : element of : http://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r9

Bibliography

Equation in Section 9.5 of KLS.

URL links

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formula in Hahn

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