Formula:KLS:14.12:27

<< Formula:KLS:14.12:26

formula in Little q-Jacobi

Formula:KLS:14.12:28 >>

${\displaystyle{\displaystyle{\displaystyle M_{n}\!\left(q^{-x};b,c;q\right)=p_{n}\!\left(-c^{-1}q^{n};b,b^{-1}q^{-n-x-1};q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Meixner polynomial : http://drmf.wmflabs.org/wiki/Definition:qMeixner
${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : little ${\displaystyle{\displaystyle{\displaystyle q}}}$-Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:littleqJacobi

Bibliography

Equation in Section 14.12 of KLS.

URL links

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<< Formula:KLS:14.12:26

formula in Little q-Jacobi

Formula:KLS:14.12:28 >>