Formula:KLS:09.05:31

<< Formula:KLS:09.05:30

formula in Hahn

Formula:KLS:09.05:32 >>

${\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(0;\alpha,\beta,N\right)=\frac{(-1)^{n}{\left(\beta+1\right)_{n}}}{{\left(\alpha+1\right)_{n}}}}}}$

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

Bibliography

Equation in Section 9.5 of KLS.

URL links

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<< Formula:KLS:09.05:30

formula in Hahn

Formula:KLS:09.05:32 >>