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 analogs of Pascal distributions on a legged star-like set. The emphasis is placed on the algebraic properties, such as the...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2024-01, Vol.12 (1), p.62
Main Authors: Arvesú, Jorge, Quintero Roba, Alejandro J.
Format: Article
Language:English
Subjects:
Analysis
Angelesco polynomials
Approximation
Binomial distribution
classical orthogonal polynomials
discrete orthogonal polynomials
Functions, Orthogonal
Mathematical analysis
Meixner polynomials
multiple orthogonal polynomials
Operators (mathematics)
Orthogonality
Polynomials
Rodrigues-type formula
Weighting functions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 analogs 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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12010062