Upward extension of the Jacobi matrix for orthogonal polynomials
From MaRDI portal
Publication:1925092
DOI10.1006/jath.1996.0074zbMath0858.42015arXivmath/9510213OpenAlexW2099676275MaRDI QIDQ1925092
Walter Van Assche, André Ronveaux
Publication date: 11 March 1997
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9510213
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Related Items (30)
Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices ⋮ On associated polynomials and decay rates for birth--death processes. ⋮ Some comments on the properties of a particular tridiagonal matrix ⋮ Deformed Laguerre-Hahn orthogonal polynomials on the real line ⋮ О новой комбинации последовательности ортогональных полиномов ⋮ Stability of third degree linear functionals and rational spectral transformations ⋮ On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions ⋮ On Factorization and Solutions ofq-difference Equations Satisfied by some Classes of Orthogonal Polynomials ⋮ On Factorization and Solutions ofq-difference Equations Satisfied by some Classes of Orthogonal Polynomials ⋮ Rational spectral transformations and orthogonal polynomials ⋮ Orthogonality of quasi-orthogonal polynomials ⋮ Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ On co-polynomials and \(d\)-orthogonality ⋮ On the singular lowering operator \(\mathbf{D}_u\) and application to the singular Laguerre-Hahn polynomial sequence with class zero of Hermite type ⋮ Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line ⋮ On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation ⋮ The symmetric semi-classical orthogonal polynomials of class two and some of their extensions ⋮ The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class ⋮ Parameter-based Fisher's information of orthogonal polynomials ⋮ Bochner-Pearson-type characterization of the free Meixner class ⋮ Szegő transformations and \(n\)th order associated polynomials on the unit circle ⋮ Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials ⋮ Quadratic harnesses, $q$-commutations, and orthogonal martingale polynomials ⋮ Orthogonal polynomials---centroid of their zeroes ⋮ Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one ⋮ On the location of the eigenvalues of Jacobi matrices ⋮ Szegő transformations and rational spectral transformations for associated polynomials ⋮ Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials ⋮ On tridiagonal matrices associated with Jordan blocks
This page was built for publication: Upward extension of the Jacobi matrix for orthogonal polynomials