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

Subjects: “…askey-wilson polynomials…”
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Raising and Lowering Operators for Askey-Wilson Polynomials by Siddhartha Sahi

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

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

Subjects: “…Askey-Wilson polynomials…”
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Hidden Symmetries of Stochastic Models by Boyka Aneva

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

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

Subjects: “…Askey-Wilson polynomials…”
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The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1) by Paul Terwilliger

Subjects: “…Askey-Wilson polynomials…”
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Tridiagonal Symmetries of Models of Nonequilibrium Physics by Boyka Aneva

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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

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

Subjects: “…Askey-Wilson polynomials…”
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Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra by Tom H. Koornwinder

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

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Double affine Hecke algebras and noncommutative geometry by Oblomkov, Alexei

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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. …”
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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. …”
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A Relativistic Conical Function and its Whittaker Limits by Simon Ruijsenaars

“…In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials. When the coupling vector c∈C^4 is specialized to (b,0,0,0), b∈C, we obtain a function R(a+,a−,b;v,2vˆ) that generalizes the conical function specialization of _2F_1 and the q-Gegenbauer polynomials. …”
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The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials by Vinet, Luc, Zhedanov, Alexei, Genest, Vincent

“…The relation between these q-deformed Bannai–Ito polynomials and the q-Racah/Askey–Wilson polynomials is discussed.…”
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Formulae for Askey-Wilson moments and enumeration of staircase tableaux by Corteel, S., Stanton, D., Williams, L., Stanley, Richard P

“…We explain how the moments of the (weight function of the) Askey-Wilson polynomials are related to the enumeration of the staircase tableaux introduced by the first and fourth authors. …”
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