Zobrazeno 1 - 10
of 430
pro vyhledávání: '"A. Foulquié Moreno"'
In this work, we develop two methods to obtain a factorisation as a product of bidiagonal matrices for the Hessenberg recurrence matrix of a system of multiple orthogonal polynomials. One method is based on the Gauss-Borel factorisation of the moment
Externí odkaz:
http://arxiv.org/abs/2412.03694
This paper demonstrates how to explicitly construct a bidiagonal factorization of the banded recurrence matrix that appears in mixed multiple orthogonality on the step-line in terms of the coeffcients of the mixed multiple orthogonal polynomials. The
Externí odkaz:
http://arxiv.org/abs/2410.15363
This work explores classical discrete multiple orthogonal polynomials, including Hahn, Meixner of the first and second kinds, Kravchuk, and Charlier polynomials, with an arbitrary number of weights. Explicit expressions for the recursion coefficients
Externí odkaz:
http://arxiv.org/abs/2409.16254
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 hypergeometric expressions for type I Hahn multiple orthogonal polynom
Externí odkaz:
http://arxiv.org/abs/2407.15001
In this work we apply Riemann-Hilbert problem to study two families of orthogonal polynomials on the unit circle, named of modified Jacobi and Bessel. We derive first and second order differential equations, for these families of orthogonal polynomia
Externí odkaz:
http://arxiv.org/abs/2406.07290
This paper serves as an introduction to banded totally positive matrices, exploring various characterizations and associated properties. A significant result within is the demonstration that the collection of such matrices forms a semigroup, notably
Externí odkaz:
http://arxiv.org/abs/2404.13965
This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi-Pi\~neiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions
Externí odkaz:
http://arxiv.org/abs/2404.13958
Sequences of bivariate orthogonal polynomials written as vector polynomials of increasing size satisfy a couple of three term relations with matrix coefficients. In this work, introducing a time-dependent parameter, we analyse a Lax-type pair system
Externí odkaz:
http://arxiv.org/abs/2311.05949
This paper explores a factorization using bidiagonal matrices of the recurrence matrix of Hahn multiple orthogonal polynomials. The factorization is expressed in terms of ratios involving the generalized hypergeometric function ${}_3F_2$ and is prove
Externí odkaz:
http://arxiv.org/abs/2308.01288
This paper investigates stochastic finite matrices and the corresponding finite Markov chains constructed using recurrence matrices for general families of orthogonal polynomials and multiple orthogonal polynomials. The paper explores the spectral th
Externí odkaz:
http://arxiv.org/abs/2308.00182