Formula:KLS:09.05:13

<< Formula:KLS:09.05:09

formula in Hahn

Formula:KLS:09.05:14 >>

${\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(x+1;\alpha,\beta,N\right)-Q_{n}\!\left(x;\alpha,\beta,N\right){}=-\frac{n(n+\alpha+\beta+1)}{(\alpha+1)N}Q_{n-1}\!\left(x;\alpha+1,\beta+1,N-1\right)}}}$

Proof

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Symbols List

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

Bibliography

Equation in Section 9.5 of KLS.

URL links

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<< Formula:KLS:09.05:09

formula in Hahn

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