Nikolai A. Krylov

collaborators

2 papers

math.CO2026

Periodicities in the Riordan arrays of polynomials over finite fields

Derek E. Bellamy, Eva N. Pflomm, Nikolai A. Krylov

We study periodicity properties of the 2-D $(p_{1} (t) / p_{2} (t), t p_{3} (t))$ and 3-D $(p_{1} (t) / p_{2} (t), t p_{3} (t), p_{4} (t))$ Riordan arrays over a finite field ${\mat…

math.CO2025

Three-dimensional Riordan arrays and bivariate Laguerre polynomials

Nikolai A. Krylov

We show how to represent various families of Laguerre polynomials by the three-dimensional Riordan arrays, and use the fundamental theorem of Riordan arrays to obtain the correspon…