Doubling (dual) Hahn polynomials: classification and applications

DOI10.3842/SIGMA.2016.003zbMath1333.81141arXiv1507.01821OpenAlexW827686603MaRDI QIDQ903708

Joris Van der Jeugt, Roy Oste

Publication date: 15 January 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01821

zbMATH Keywords

tridiagonal matrixmatrix eigenvaluessymmetric orthogonal polynomialsHahn polynomialChristoffel pairfinite oscillator modelRacah polynomial

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (3)

Schrödinger's tridiagonal matrix ⋮ Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix ⋮ $q$-Deformation of the Kac-Sylvester tridiagonal matrix

Uses Software

• testmatrix

Cites Work

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• A Class of Triple-Diagonal Matrices for Test Purposes
• Random Walk and the Theory of Brownian Motion

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