Results 41 to 50 of about 901,840 (78)
Spectral Analysis of Certain Schrödinger Operators
Symmetry, 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
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Tridiagonal Symmetries of Models of Nonequilibrium Physics
Symmetry, 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
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Two limit transitions involving multivariable Askey-Wilson polynomials [PDF]
, 1996 In the first part (without proofs) an orthogonality measure with partly discrete and partly continuous support will be introduced for the five parameter family of multivariable BC type Askey-Wilson polynomials.
Stokman, J.V., Stokman, Jasper
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Hidden Symmetries of Stochastic Models
Symmetry, 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
Symmetry, 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
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A Ramanujan-type measure for the Askey-Wilson polynomials [PDF]
, 1995 A Ramanujan-type representation for the Askey-Wilson q-beta integral, admitting the transformation q to q(exp -1), is obtained. Orthogonality of the Askey-Wilson polynomials with respect to a measure, entering into this representation, is proved.
Atakishiyev, Natig M.
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Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials
, 1996 Nonnegative product linearization of the Askey-Wilson polynomials is shown for a wide range of parameters. As a corollary we obtain Rahman's result on the continuous q-Jacobi polynomials with α ≥ β > — 1 and α + β + 1 ≥ 0.
Ryszard Szwarc
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Little and big q-Jacobi polynomials and the Askey–Wilson algebra
, 2019 v2: References added. 15 ppInternational audienceThe little and big q-Jacobi polynomials are shown to arise as basis vectors for representations of the Askey–Wilson algebra.
Baseilhac, Pascal +3 more
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, 2020 In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey–Wilson polynomials and the corresponding terminating basic hypergeometric transformations that these polynomials ...
Howard S. Cohl +5 more
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Quantum groups and Askey-Wilson polynomials
, 2021 In this thesis, we introduce the quantum groups Uq(SL(2,C)) and Aq(SL(2,C)) as Hopf algebras. We study their representations, including their similarities and differences with the classical theory.
Wagenaar, Carel (author)
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