Results 31 to 40 of about 45,476 (265)
Equivalences of the Multi-Indexed Orthogonal Polynomials [PDF]
, 2013 Multi-indexed orthogonal polynomials describe eigenfunctions of exactly solvable shape-invariant quantum mechanical systems in one dimension obtained by the method of virtual states deletion.
Odake, Satoru
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The colored Jones polynomials as vortex partition functions
Journal of High Energy Physics, 2021 We construct 3D N $$ \mathcal{N} $$ = 2 abelian gauge theories on S $$ \mathbbm{S} $$ 2 × S $$ \mathbbm{S} $$ 1 labeled by knot diagrams whose K-theoretic vortex partition functions, each of which is a building block of twisted indices, give the colored ...
Masahide Manabe +2 more
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The non-symmetric Wilson polynomials are the Bannai–Ito polynomials [PDF]
Proceedings of the American Mathematical Society, 2016 The one-variable non-symmetric Wilson polynomials are shown to coincide with the Bannai-Ito polynomials. The isomorphism between the corresponding degenerate double affine Hecke algebra of type $(C_1^{\vee}, C_1)$ and the Bannai-Ito algebra is established.
Genest, Vincent X. +2 more
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Expansions in the Askey–Wilson polynomials
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail, Mourad E.H., Stanton, Dennis
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A Polynomial Blossom for the Askey–Wilson Operator [PDF]
Constructive Approximation, 2018 In this paper the authors introduce a blossoming procedure for polynomials related to the Askey-Wilson operator. This blossom is symmetric, multiaffine, and reduces to the complex representation of the polynomial on a certain diagonal. This Askey-Wilson blossom can be used to find the Askey-Wilson derivative of a polynomial of any order.
Simeonov, Plamen, Goldman, Ron
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Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials [PDF]
Letters in Mathematical Physics, 2021 AbstractWe express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurwitz numbers. This completes the combinatorial interpretation of the topological expansion of the classical unitary invariant matrix ensembles.
Gisonni, M., Grava, T., Ruzza, G.
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A characterization of the Rogers q-hermite polynomials
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.
Waleed A. Al-Salam
doaj +1 more source
Chern-Simons perturbative series revisited
Physics Letters B, 2021 A group-theoretical structure in a perturbative expansion of the Wilson loops in the 3d Chern-Simons theory with SU(N) gauge group is studied in symmetric approach.
E. Lanina, A. Sleptsov, N. Tselousov
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Bispectrality of Multivariable Racah–Wilson Polynomials [PDF]
Constructive Approximation, 2009 minor ...
Geronimo, Jeffrey S., Iliev, Plamen
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Orthogonal Basic Hypergeometric Laurent Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
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