Formula:KLS:09.05:08

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formula in Hahn

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${\displaystyle{\displaystyle{\displaystyle\Hahn{n}@{x}{\alpha}{\beta}{N}=\frac{\pochhammer{n+\alpha+\beta+1}{n}}{\pochhammer{\alpha+1}{n}\pochhammer{-N}{n}}\monicHahn{n}@@{x}{\alpha}{\beta}{N}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : 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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formula in Hahn

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