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) Vol. 12; no. 1; p. 62
Main Authors:	Arvesú, Jorge, Quintero Roba, Alejandro J.
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01-01-2024
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 Spain
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