Formula:KLS:09.04:08

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formula in Continuous Hahn

Formula:KLS:09.04:09 >>

${\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x;a,b,c,d\right)=\frac{{\left(n+a+b+c+d-1\right)_{n}}}{n!}{\widehat{p}}_{n}\!\left(x\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : continuous Hahn polynomial : http://dlmf.nist.gov/18.19#P2.p1
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
${\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}}}}$ : monic continuous Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsHahn

Bibliography

Equation in Section 9.4 of KLS.

URL links

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