Formula:KLS:09.05:08

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formula in Hahn

Formula:KLS:09.05:09 >>

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
${\displaystyle{\displaystyle{\displaystyle{\widehat{Q}}_{n}}}}$ : monic Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicHahn

Bibliography

Equation in Section 9.5 of KLS.

URL links

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