Some orthogonal very-well-poised $_8φ_7$-functions that generalize Askey-Wilson polynomials [PDF]
, 1997 Sergeĭ K. Suslov
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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials [PDF]
International Mathematics Research Notices, 2019 AbstractWe study matrix elements of a change of basis between two different bases of representations of the quantum algebra ${\mathcal{U}}_q(\mathfrak{s}\mathfrak{u}(1,1))$. The two bases, which are multivariate versions of Al-Salam–Chihara polynomials, are eigenfunctions of iterated coproducts of twisted primitive elements.
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Gradient system for the roots of the Askey-Wilson polynomial [PDF]
, 2019 J. F. van Diejen
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Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind [PDF]
, 2021 K. Castillo, D. Mbouna, J. Petronilho
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Harmonic analysis on the SU(2) dynamical quantum group
, 2001 Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework for studying the dynamical Yang-Baxter equation, which is precisely the Yang-Baxter equation satisfied by 6j-symbols.
Koelink, Erik, Rosengren, Hjalmar
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On the structure and probabilistic interpretation of Askey–Wilson densities and polynomials with complex parameters [PDF]
, 2011 Paweł J. Szabłowski
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Proof of two conjectures on Askey-Wilson polynomials [PDF]
, 2022 K. Castillo, D. Mbouna
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A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials [PDF]
, 2012 Victor J. W. Guo +3 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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A note on the $O_q(\hat{sl_2})$ algebra
, 2010 An explicit homomorphism that relates the elements of the infinite dimensional non-Abelian algebra generating $O_q(\hat{sl_2})$ currents and the standard generators of the $q-$Onsager algebra is proposed.
Baseilhac, P., Belliard, S.
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