Formula:KLS:14.03:22

<< Formula:KLS:14.03:21

formula in Continuous dual q-Hahn

Formula:KLS:14.03:23 >>

${\displaystyle{\displaystyle{\displaystyle D_{q}p_{n}\!\left(x;a,b,c|q\right)=2q^{-\frac{1}{2}(n-1)}\frac{1-q^{n}}{1-q}p_{n-1}\!\left(x;aq^{\frac{1}{2}},bq^{\frac{1}{2}},cq^{\frac{1}{2}}|q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : continuous dual ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsdualqHahn

Bibliography

Equation in Section 14.3 of KLS.

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formula in Continuous dual q-Hahn

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