Formula:KLS:09.06:08

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formula in Dual Hahn

Formula:KLS:09.06:09 >>

${\displaystyle{\displaystyle{\displaystyle x{\widehat{R}}_{n}\!\left(x\right)={\widehat{R}}_{n+1}\!\left(x\right)-(A_{n}+C_{n}){\widehat{R}}_{n}\!\left(x\right)+A_{n-1}C_{n}{\widehat{R}}_{n-1}\!\left(x\right)}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle C_{n}=n(n-\delta-N-1)}}}$ &
${\displaystyle{\displaystyle{\displaystyle A_{n}=(n+\gamma+1)(n-N)}}}$

Proof

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Symbols List

& : logical and
${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}}}}$ : monic dual Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdualHahn

Bibliography

Equation in Section 9.6 of KLS.

URL links

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