Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis
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Publication:4997872
DOI10.1142/S1664360720500034zbMath1478.33005OpenAlexW3007846693MaRDI QIDQ4997872
Publication date: 30 June 2021
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1664360720500034
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Convergence and divergence of series and sequences (40A05) Other special orthogonal polynomials and functions (33C47)
Related Items (4)
Recurrence relations for the moments of discrete semiclassical orthogonal polynomials ⋮ Comparative asymptotics for discrete semiclassical orthogonal polynomials ⋮ Truncated Hermite polynomials ⋮ Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
Uses Software
Cites Work
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- Polynomial sequences associated with the moments of hypergeometric weights
- Multidimensional Toda lattices: continuous and discrete time
- Multivariate orthogonal polynomials and integrable systems
- Discrete semiclassical orthogonal polynomials of class one
- Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems
- Equations of motion for zeros of orthogonal polynomials related to the Toda lattices
- Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials
- Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
- Orthogonal polynomials on a bi-lattice
- Elliptic solutions of the Toda chain and a generalization of the Stieltjes-Carlitz polynomials
- Discrete semi-classical orthogonal polynomials: generalized Meixner
- Theory of nonlinear lattices
- Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems.
- The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type
- Differential equations for families of semi-classical orthogonal polynomials within class one
- Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI
- Discrete semi-classical orthogonal polynomials: Generalized Charlier
- Power series expansion of a Hankel determinant
- Toda chain, Stieltjes function, and orthogonal polynomials
- Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice
- Recurrence coefficients of generalized Meixner polynomials and Painlevé equations
- Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials
- Laguerre-Freud equations for Generalized Hahn polynomials of type I
- Orthogonal Polynomials and Painlevé Equations
- Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy
- Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation
- A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials
- Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials
- On Toda lattices and orthogonal polynomials
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