Pearson equations for discrete orthogonal polynomials: I. Generalized hypergeometric functions and Toda equations
DOI10.1111/sapm.12471arXiv2107.01747OpenAlexW3180764848MaRDI QIDQ6085786
Unnamed Author, Unnamed Author, Manuel Mañas
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01747
Cholesky factorizationdiscrete orthogonal polynomialsgeneralized hypergeometric functionscontiguous relationsToda hierarchyPearson equationsNijhoff-Capel discrete Toda equation
Factorization of matrices (15A23) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Generalized hypergeometric series, ({}_pF_q) (33C20) Lattice dynamics; integrable lattice equations (37K60) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
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