Tricomi–Carlitz polynomials

Template:Format footnotes In mathematics, the Tricomi–Carlitz polynomials or (Carlitz–)Karlin–McGregor polynomials are polynomials studied by Template:Harvs and Template:Harvs and Template:Harvs, related to random walks on the positive integers.

They are given in terms of Laguerre polynomials by

${\ell }_n(x)=(-1{)}^n{L}_n^{(x-n)}(x).$

They are special cases of the Chihara–Ismail polynomials.

References

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