Formula:KLS:14.02:39

<< Formula:KLS:14.02:37

formula in q-Racah

Formula:KLS:14.02:40 >>

${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(q^{-x};q^{-N-1},-pq^{N},0,0\,|\,q\right)=K_{n}\!\left(q^{-x};p,N;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Racah polynomial : http://dlmf.nist.gov/18.28#E19
${\displaystyle{\displaystyle{\displaystyle K_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:qKrawtchouk

Bibliography

Equation in Section 14.2 of KLS.

URL links

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formula in q-Racah

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