Formula:KLS:09.03:28

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formula in Continuous dual Hahn

Formula:KLS:09.03:29 >>

${\displaystyle{\displaystyle{\displaystyle S_{n}\!\left(-a^{2};a,b,c\right)={\left(a+b\right)_{n}}{\left(a+c\right)_{n}}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle S_{n}}}}$ : continuous dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 9.3 of KLS.

URL links

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<< Formula:KLS:09.03:27

formula in Continuous dual Hahn

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