Results 71 to 80 of about 939,916 (117)
Connection relations and characterizations of orthogonal polynomials
, 2012 We give a general method of characterizing symmetric orthogonal polynomials through a certain type of connection relations. This method is applied to Al-Salam–Chihara, Askey–Wilson, and Meixner–Pollaczek polynomials.
Plamen Simeonov +3 more
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FCAA Special 2020 Conferences' Issue (FCAA-Volume 23-6-2020). [PDF]
Fract Calc Appl Anal, 2020 Kiryakova V.
europepmc +1 more source
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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Quantum groups and Askey-Wilson polynomials
, 2021 In this thesis, we introduce the quantum groups Uq(SL(2,C)) and Aq(SL(2,C)) as Hopf algebras. We study their representations, including their similarities and differences with the classical theory.
Wagenaar, Carel (author)
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Formulas And Identities Involving The Askey-Wilson Operator
, 2016 We derive two new versions of Cooper\u27s formula for the iterated Askey-Wilson operator. Using the second version of Cooper\u27s formula and the Leibniz rule for the iterated Askey-Wilson operator, we derive several formulas involving this operator.
Ismail, Mourad E.H., Simeonov, Plamen
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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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Lecture hall graphs and the Askey scheme
We establish, for every family of orthogonal polynomials in the q-Askey scheme and the Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths on the lecture hall graph.
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Bispectral commuting difference operators for multivariable Askey-Wilson polynomials
, 2010 We construct a commutative algebra A z \mathcal A_{z} , generated by d d algebraically independent q q -difference operators acting on variables
Plamen Iliev
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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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Askey--Wilson polynomials with ASEP parameters
20 ...
Cho, Younggwang +2 more
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