arXiv subjects

Alejandro J. Quintero Roba

Publications and source records attributed to Alejandro J. Quintero Roba.

2 recordsLinked to original sources

arXiv2023

Nearest neighbor recurrence relations for Meixner-Angelesco multiple orthogonal polynomials of the second kind

This paper studies a new family of Angelesco multiple orthogonal polynomials with shared orthogonality conditions with respect to a system of weight functions, which are complex analogues of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties such as the raising operators, the Rodrigues-type formula, the explicit expression of the polynomials, and the nearest neighbor recurrence relations.

math.CA↗

arXiv2023

On two families of discrete multiple orthogonal polynomials on a star-like set

We study two families of type II discrete multiple orthogonal polynomials on an $r$-legged star-like set with respect to $r$ weight functions of Charlier (Poisson distributions) and Meixner (negative binomial distributions), respectively. We focus our attention on the structural properties such as the raising operators, the Rodrigues-type formulas, and the explicit expressions of the polynomial families as well as the coefficients of the nearest neighbor recurrence relation. A limit relation between these families is given.

math.CA↗