Results 51 to 60 of about 442,685 (123)

Spectral Analysis of Certain Schrödinger Operators

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
doaj   +1 more source

Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
This paper builds on the previous paper by the author, where a relationship between Zhedanov's algebra AW(3) and the double affine Hecke algebra (DAHA) corresponding to the Askey-Wilson polynomials was established.
Tom H. Koornwinder
doaj   +1 more source

Tridiagonal Symmetries of Models of Nonequilibrium Physics

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We study the boundary symmetries of models of nonequilibrium physics where the steady state behaviour strongly depends on the boundary rates. Within the matrix product state approach to many-body systems the physics is described in terms of matrices ...
Boyka Aneva
doaj   +1 more source

Hidden Symmetries of Stochastic Models

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
In the matrix product states approach to $n$ species diffusion processes the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra determined by the dynamics of the process.
Boyka Aneva
doaj  

A Probablistic Origin for a New Class of Bivariate Polynomials

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We present here a probabilistic approach to the generation of new polynomials in two discrete variables. This extends our earlier work on the 'classical' orthogonal polynomials in a previously unexplored direction, resulting in the discovery of an ...
Michael R. Hoare, Mizan Rahman
doaj   +1 more source

Symmetry of terminating basic hypergeometric series representations of the Askey–Wilson polynomials

open access: yesJournal of Mathematical Analysis and Applications, 2022
H. Cohl, R. S. Costas-Santos
semanticscholar   +1 more source

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