Results 81 to 90 of about 2,393 (108)
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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Addition formulas for q-special functions
, 1995 A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum $SU(2)$ group theoretic interpretation. This formula contains most of the previously known addition formulas for $q$-Legendre polynomials as ...
Koelink, Erik
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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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Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials. [PDF]
Proc Natl Acad Sci U S A, 2010 Corteel S, Williams LK.
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On a generalization of the Rogers generating function. [PDF]
J Math Anal Appl, 2019 Cohl HS, Costas-Santos RS, Wakhare TV.
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Multi-indexed Wilson and Askey-Wilson polynomials
Multi-indexed Wilson and Askey-Wilson polynomialsAs the third stage of the project multi-indexed orthogonal polynomials, we present, in the framework of 'discrete quantum mechanics' with pure imaginary shifts in one dimension, the multi-indexed Wilson and Askey-Wilson polynomials. They are obtained from the original Wilson and Askey-Wilson polynomials by multiple applications of the discrete analogue
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On the Askey-Wilson polynomials
Constructive Approximation, 1992Classical orthogonal polynomials of a discrete variable on non-uniform lattices were introduced by \textit{R. Askey} and \textit{J. A. Wilson} [SIAM J. Math. Anal. 10, 1008-1016 (1979; Zbl 0437.33014)], and \textit{J. A. Wilson} [ibid. 11, 690-701 (1980; Zbl 0454.33007)] and their main properties were established on the basis of the theory of ...
Atakishiev, N. M., Suslov, S. K.
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On the Askey-Wilson and Rogers Polynomials
Canadian Journal of Mathematics, 1988The q-shifted factorial (a)n or (a; q)n isand an empty product is interpreted as 1. Recently, Askey and Wilson [6] introduced the polynomials1.1where1.2and1.3We shall refer to these polynomials as the Askey-Wilson polynomials or the orthogonal 4ϕ3 polynomials. They generalize the 6 — j symbols and are the most general classical orthogonal polynomials, [
Ismail, Mourad E. H., Stanton, Dennis
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?Hidden symmetry? of Askey-Wilson polynomials
Theoretical and Mathematical Physics, 1991See the review in Zbl 0744.33009.
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Some Functions that Generalize the Askey-Wilson Polynomials
Communications in Mathematical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grünbaum, F. Alberto, Haine, Luc
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