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

J Arvesú Carballo, AJ Quintero Roba - Lobachevskii Journal of …, 2023 - Springer
We study two families of type II discrete multiple orthogonal polynomials on an-legged star-
like set with respect to weight functions of Charlier (Poisson distributions) and Meixner …

Multiple q-Kravchuk polynomials

J Arvesú, AM Ramírez-Aberasturis - Integral Transforms and …, 2021 - Taylor & Francis
We study a family of type II multiple orthogonal polynomials. We consider orthogonality
conditions with respect to a vector measure, in which each component is aq-analogue of the …

[HTML][HTML] Multiple Meixner polynomials on a non-uniform lattice

J Arvesú, AM Ramírez-Aberasturis - Mathematics, 2020 - mdpi.com
We consider two families of type II multiple orthogonal polynomials. Each family has
orthogonality conditions with respect to a discrete vector measure. The r components of …

[HTML][HTML] Nearest Neighbor Recurrence Relations for Meixner–Angelesco Multiple Orthogonal Polynomials of the Second Kind

J Arvesú, AJ Quintero Roba - Mathematics, 2023 - mdpi.com
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 …

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

JA Carballo, AJQ Roba - arXiv preprint arXiv:2312.14317, 2023 - arxiv.org
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 …

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

JA Carballo, AJQ Roba - arXiv preprint arXiv:2312.14989, 2023 - arxiv.org
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 …

[HTML][HTML] On the ω-multiple Charlier polynomials

MA Özarslan, G Baran - Advances in Difference Equations, 2021 - Springer
The main aim of this paper is to define and investigate more general multiple Charlier
polynomials on the linear lattice ω N= 0, ω, 2 ω,… ωN={0,ω,2ω,...\}, ω∈ R ω∈R. We call …

Multiple big -Jacobi polynomials

F Bouzeffour, M Garayev - Bulletin of Mathematical Sciences, 2020 - World Scientific
Multiple big -Jacobi polynomials Page 1 Bulletin of Mathematical Sciences Vol. 10, No. 2 (2020)
2050013 (18 pages) c The Author(s) DOI: 10.1142/S1664360720500137 Multiple big q-Jacobi …

On some algebraic properties for q-Meixner multiple orthogonal polynomials of the first kind

J Arvesú, AM Ramírez-Aberasturis - arXiv preprint arXiv:1604.04920, 2016 - arxiv.org
We study a new family of q-Meixner multiple orthogonal polynomials of the first kind. The
discrete orthogonality conditions are considered over a non-uniform lattice with respect to …

On multiple -Appell polynomials

PN Sadjang, S Mboutngam - arXiv preprint arXiv:1806.00032, 2018 - arxiv.org
In this paper, we give a generating function for Multiple Charlier polynomials and deduce
several consequences for these polynomials as invertion formula, connection formula …