Q-Racah polynomials


In mathematics, the q-Racah polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by. give a detailed list of their properties.

Definition

The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by
They are sometimes given with changes of variables as

Orthogonality

Recurrence and difference relations

Rodrigues formula

Generating function

Relation to other polynomials

q-Racah polynomials→Racah polynomials