Formula:KLS:14.05:45

<< Formula:KLS:14.05:44

formula in Big q-Jacobi

Formula:KLS:14.05:46 >>

${\displaystyle{\displaystyle{\displaystyle\frac{P_{n}\!\left(-x;a,b,c,d;q\right)}{P_{n}\!\left(-d/(qb);a,b,c,d;q\right)}=P_{n}\!\left(x;b,a,d,c;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : big ${\displaystyle{\displaystyle{\displaystyle q}}}$-Jacobi polynomial with four parameters : http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam

Bibliography

Equation in Section 14.5 of KLS.

URL links

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<< Formula:KLS:14.05:44

formula in Big q-Jacobi

Formula:KLS:14.05:46 >>