Results 41 to 50 of about 2,475 (116)
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
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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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Askey-Wilson Type Functions, With Bound States
, 2003 The two linearly independent solutions of the three-term recurrence relation of the associated Askey-Wilson polynomials, found by Ismail and Rahman in [22], are slightly modified so as to make it transparent that these functions satisfy a beautiful ...
A. Kasman +36 more
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Askey–Wilson polynomials and a double $q$-series transformation formula with twelve parameters [PDF]
, 2018 Zhiguo Liu
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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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$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
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Symmetry of terminating series representations of the Askey-Wilson polynomials [PDF]
, 2022 Howard S. Cohl, Roberto S. Costas-Santos
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Solutions to the associated q-Askey-Wilson polynomial recurrence relation [PDF]
, 1993 Dharma P. Gupta, David R. Masson
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8 Lectures on quantum groups and q-special functions [PDF]
, 1996 Lecture notes for an eight hour course on quantum groups and $q$-special functions at the fourth Summer School in Differential Equations and Related Areas, Universidad Nacional de Colombia and Universidad de los Andes, Bogot\'a, Colombia, July 22 ...
Koelink, Erik
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A "missing" family of classical orthogonal polynomials
, 2011 We study a family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type.
Alexei Zhedanov +15 more
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