Q-Charlier polynomials

In mathematics, the q-Charlier polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Template:Harvs give a detailed list of their properties.

Definition

The polynomials are given in terms of the basic hypergeometric function by

$C_n(q^{-x};a;q)={}_2{\varphi }_1(q^{-n},q^{-x};0;q,-q^{n+1}/a).$

References

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