q-Charlier polynomials

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In mathematics, the q-Charlier polynomials[1] 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

Cn(q−x;a;q)=2ϕ1(q−n,q−x;0;q,−qn+1/a).

References

Template:Reflist

  1. ↑ There are similar named polynomials named alternative q-Charlier polynomials Kn(x;a;q) which is another name for q-Bessel polynomials.
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