3 papers
math.PR2025
Multiple orthogonal polynomial ensembles of derivative type
Thomas Wolfs
We characterize the biorthogonal ensembles that are both a multiple orthogonal polynomial ensemble and a polynomial ensemble of derivative type (also called a Pólya ensemble). We f…
math.CA2024
Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié-Moreno +2
This work explores classical discrete multiple orthogonal polynomials, including Hahn, Meixner of the first and second kinds, Kravchuk, and Charlier polynomials, with an arbitrary…
math.CA2024
Integral and hypergeometric representations for multiple orthogonal polynomials
Amílcar Branquinho, Juan EF Díaz, Ana Foulquié-Moreno +2
This paper addresses two primary objectives in the realm of classical multiple orthogonal polynomials with an arbitrary number of weights. Firstly, it establishes new and explicit…