Formula:KLS:14.12:28

<< Little q-Jacobi

formula in Little q-Jacobi: Special case

Formula:KLS:14.12:29 >>

${\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x|q\right)=\qHyperrphis{2}{1}@@{q^{-n},q^{n+1}}{q}{q}{qx}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : little ${\displaystyle{\displaystyle{\displaystyle q}}}$-Legendre polynomial : http://drmf.wmflabs.org/wiki/Definition:littleqLegendre
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

Bibliography

Equation in Section 14.12 of KLS.

URL links

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<< Little q-Jacobi

formula in Little q-Jacobi: Special case

Formula:KLS:14.12:29 >>