Formula:KLS:14.12:14

<< Formula:KLS:14.12:13

formula in Little q-Jacobi

Formula:KLS:14.12:15 >>

${\displaystyle{\displaystyle{\displaystyle a(bx-1)p_{n}\!\left(x;a,b;q\right)-(x-1)p_{n}\!\left(q^{-1}x;a,b;q\right){}=(1-a)p_{n+1}\!\left(x;aq^{-1},bq^{-1};q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : 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:14.12:13

formula in Little q-Jacobi

Formula:KLS:14.12:15 >>