In mathematics, the Tricomi–Carlitz polynomials or (Carlitz–)Karlin–McGregor polynomials are polynomials studied by and and, related to random walks on the positive integers.
They are given in terms of Laguerre polynomials by
| (x-n) | |
| \ell | |
| n |
(x).
They are special cases of the Chihara–Ismail polynomials.