Formula:KLS:14.09:13

<< Formula:KLS:14.09:12

formula in q-Meixner-Pollaczek

Formula:KLS:14.09:14 >>

${\displaystyle{\displaystyle{\displaystyle D_{q}P_{n}\!\left(x;a|q\right)=\frac{2q^{-\frac{1}{2}(n-1)}}{1-q}P_{n-1}\!\left(x;aq^{\frac{1}{2}}|q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Meixner-Pollaczek polynomial : http://drmf.wmflabs.org/wiki/Definition:qMeixnerPollaczek

Bibliography

Equation in Section 14.9 of KLS.

URL links

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<< Formula:KLS:14.09:12

formula in q-Meixner-Pollaczek

Formula:KLS:14.09:14 >>