Results 71 to 80 of about 2,394 (105)
Nonsymmetric Askey–Wilson polynomials and Q-polynomial distance-regular graphs
Journal of Combinatorial Theory, Series A, 2017 In his famous theorem (1982), Douglas Leonard characterized the $q$-Racah polynomials and their relatives in the Askey scheme from the duality property of $Q$-polynomial distance-regular graphs. In this paper we consider a nonsymmetric (or Laurent) version of the $q$-Racah polynomials in the above situation.
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On First type characterizations of Askey-Wilson polynomials
, 2023 In this chapter we characterize Askey-Wilson polynomials including specific and limiting cases of them by some structure relations of the first type.
Mbouna, D., Suzuki, A.
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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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Askey-Wilson polynomials: an affine Hecke algebraic approach
, 2000 We study Askey-Wilson type polynomials using representation theory of the double affine Hecke algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti-symmetric Askey-Wilson polynomials with respect to a complex measure.
Noumi, M., Stokman, J.V.
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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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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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Terminating Basic Hypergeometric Representations and Transformations for the Askey-Wilson Polynomials. [PDF]
Symmetry (Basel), 2020 Cohl HS, Costas-Santos RS, Ge L.
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FCAA Special 2020 Conferences' Issue (FCAA-Volume 23-6-2020). [PDF]
Fract Calc Appl Anal, 2020 Kiryakova V.
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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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Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians
, 1996 11 pages, AMS-TeX 2.1, no figures. To appear in: Proceedings of a Workshop on Special Functions, q-Series and Related Topics, Toronto, June 19-23, 1995, Fields Inst ...
Noumi, M. +2 more
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