Moments of Askey-Wilson polynomials by Jang Soo Kim, Dennis Stanton

Subjects: “…askey-wilson polynomials…”
Get full text

Raising and Lowering Operators for Askey-Wilson Polynomials by Siddhartha Sahi

Subjects: Get full text

Terminating Basic Hypergeometric Representations and Transformations for the Askey–Wilson Polynomials by Howard S. Cohl, Roberto S. Costas-Santos, Linus Ge

“…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 satisfy.…”
Get full text

A generalization of Mehta-Wang determinant and Askey-Wilson polynomials by Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng

Subjects: Get full text

Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere by Ernie G. Kalnins, Willard Miller Jr., Sarah Post

Subjects: Get full text

Orthogonal Basic Hypergeometric Laurent Polynomials by Mourad E.H. Ismail, Dennis Stanton

Subjects: “…Askey-Wilson polynomials…”
Get full text

Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D by Sarah Post, Willard Miller Jr., Ernest G. Kalnins

Subjects: Get full text

Hidden Symmetries of Stochastic Models by Boyka Aneva

Subjects: Get full text

The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case by Tom H. Koornwinder

Subjects: Get full text

Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations by Paul Terwilliger, Tatsuro Ito

Subjects: “…Askey-Wilson polynomials…”
Get full text

The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1) by Paul Terwilliger

Subjects: “…Askey-Wilson polynomials…”
Get full text

Tridiagonal Symmetries of Models of Nonequilibrium Physics by Boyka Aneva

Subjects: Get full text

Correction: Cohl, H.S.; Costas-Santos, R.S.; Ge, L. Terminating Basic Hypergeometric Representations and Transformations for the Askey–Wilson Polynomials <i>Symmetry</i> 2020, <i>12</i>, 1290 by Howard S. Cohl, Roberto S. Costas-Santos, Linus Ge

Get full text

On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices by Salifou Mboutngam, Maurice Kenfack-Nangho, Mama Foupouagnigni, Wolfram Koepf

Subjects: “…Askey-Wilson polynomials…”
Get full text

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

Subjects: Get full text

A Probablistic Origin for a New Class of Bivariate Polynomials by Michael R. Hoare, Mizan Rahman

Subjects: Get full text

Double affine Hecke algebras and noncommutative geometry by Oblomkov, Alexei

Get full text

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials by Tom H. Koornwinder

“…Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.…”
Get full text

Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations by Ryu Sasaki, Wen-Li Yang, Yao-Zhong Zhang

“…These equations are deformation of the well-known exactly solvable difference equations of the Meixner-Pollaczek, continuous Hahn, continuous dual Hahn, Wilson and Askey-Wilson polynomials. Up to an overall factor of the so-called pseudo ground state wavefunction, the eigenfunctions within the exactly solvable subspace are given by polynomials whose roots are solutions of the associated Bethe ansatz equations. …”
Get full text

The Universal Askey-Wilson Algebra by Paul Terwilliger

“…Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in the algebra. …”
Get full text