Formula:KLS:09.03:09

<< Formula:KLS:09.03:08

formula in Continuous dual Hahn

Formula:KLS:09.03:10 >>

${\displaystyle{\displaystyle{\displaystyle S_{n}\!\left(x^{2};a,b,c\right)=(-1)^{n}{\widehat{S}}_{n}\!\left(x^{2}\right)}}}$

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
${\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}}}}$ : monic continuous dual Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsdualHahn

Bibliography

Equation in Section 9.3 of KLS.

URL links

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formula in Continuous dual Hahn

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