Big q-Jacobi polynomials

Template:CS1 config In mathematics, the big q-Jacobi polynomials P_n(x;a,b,c;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme.

Definition

The polynomials are given in terms of basic hypergeometric functions by

$P_n(x;a,b,c;q)={}_3{\varphi }_2(q^{-n},ab{q}^{n+1},x;aq,cq;q,q)$

Further reading

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