Karlin–McGregor polynomials

In mathematics, the Tricomi–Carlitz polynomials or (Carlitz–)Karlin–McGregor polynomials are polynomials studied by Tricomi (1951) and Carlitz (1958) and Karlin and McGregor (1959), related to random walks on the positive integers.

They are given in terms of Laguerre polynomials by

They are special cases of the Chihara–Ismail polynomials.

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