Tricomi–Carlitz polynomials

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
 * $$ \ell_n(x)=(-1)^nL_n^{(x-n)}(x).$$

They are special cases of the Chihara–Ismail polynomials.