Formula:KLS:14.07:37

<< Formula:KLS:14.07:35

formula in Dual q-Hahn

Formula:KLS:14.08:01 >>

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:dualqHahn
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

Bibliography

Equation in Section 14.7 of KLS.

URL links

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formula in Dual q-Hahn

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