33 citations · 182 across the 41 of their papers we have counts for
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math.CO2023
Applications of infinite lower triangular matrices and their group structure in combinatorics and the theory of orthogonal polynomials
Paweł J. Szabłowski
Our focus is on the set of lower-triangular, infinite matrices that have natural operations like addition, multiplication by a number, and matrix multiplication. With respect to ad…
math.CO2021
Yet another way of calculating moments of the Kesten's distribution and its consequences for Catalan numbers and Catalan triangles
Paweł J. Szabłowski
We calculate moments of the so-called Kesten distribution by means of the expansion of the denominator of the density of this distribution and then integrate all summands with resp…
math.CO2011
On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials
Paweł J. Szabłowski
We review properties of the Hermite polynomials and indicate their links with the Chebyshev, Rogers--Szegö, Al-Salam--Chihara, continuous % utraspherical polynomials. In pa…