Formula:KLS:09.06:09

<< Formula:KLS:09.06:08

formula in Dual Hahn

Formula:KLS:09.06:10 >>

${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\lambda(x);\gamma,\delta,N\right)=\frac{1}{{\left(\gamma+1\right)_{n}}{\left(-N\right)_{n}}}{\widehat{R}}_{n}\!\left(\lambda(x)\right)}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle\lambda(x)=x(x+\gamma+\delta+1)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r5
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}}}}$ : 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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formula in Dual Hahn

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