Work

Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation

Year: 2025

Type: article

Abstract: ABSTRACT This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these polynomial families. Furthermore, new explicit expressions for type I multiple orthogonal polynomials are derived for Laguerre of the second kind and also for multiple Hermite polynomials.

Source: Studies in Applied Mathematics

DOI: 10.1111/sapm.70033

Authors: Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié‐Moreno, Manuel Mañas

Institutions: Centro de Matemática, University of Coimbra, University of Aveiro, Universidad Complutense de Madrid

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,550