Results 51 to 60 of about 3,786,908 (243)
Scholarpedia, 2012 Askey-Wilson polynomial refers to a four-parameter family of q-hypergeometric orthogonal polynomials which contains all families of classical orthogonal polynomials (in the wide sense) as special or limit cases.
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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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Properties of some families of hypergeometric orthogonal polynomials in several variables
, 1996 Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of ...
van Diejen, Jan F.
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Wilson polynomials/functions and intertwining operators for the generic quantum superintegrable system on the 2-sphere [PDF]
, 2014 The Wilson and Racah polynomials can be characterized as basis functions for irreducible representations of the quadratic symmetry algebra of the quantum superintegrable system on the 2-sphere, HΨ = EΨ, with generic 3-parameter potential.
W. Miller, Qiushi Li
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General solutions and applications of the coupled Drinfel’d–Sokolov–Wilson equation
Examples and Counterexamples, 2023 We report a new batch of wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation which represents a coupled system of nonlinear partial differential equations (NLPDEs).
Shreya Mitra +2 more
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Nonsymmetric Jacobi and Wilson-type polynomials [PDF]
International Mathematics Research Notices, 2006 Consider a root system of type $BC_1$ on the real line $\mathbb R$ with general positive multiplicities. The Cherednik-Opdam transform defines a unitary operator from an $L^2$-space on $\mathbb R$ to a $L^2$-space of $\mathbb C^2$-valued functions on $\mathbb R^+$ with the Harish-Chandra measure $|c(\lam)|^{-2}d\lam$.
Peng, Lizhong, Zhang, Genkai
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Exact results and Schur expansions in quiver Chern-Simons-matter theories
Journal of High Energy Physics, 2020 We study several quiver Chern-Simons-matter theories on the three-sphere, combining the matrix model formulation with a systematic use of Mordell’s integral, computing partition functions and checking dualities.
Leonardo Santilli, Miguel Tierz
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Perturbative analysis of the colored Alexander polynomial and KP soliton τ-functions
Nuclear Physics B, 2021 In this paper we study the group theoretic structures of colored HOMFLY polynomials in a specific limit. The group structures arise in the perturbative expansion of SU(N) Chern-Simons Wilson loops, while the limit is N→0.
V. Mishnyakov, A. Sleptsov
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Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra [PDF]
, 2015 The algebraic underpinning of the tridiagonalization procedure is investigated. The focus is put on the tridiagonalization of the hypergeometric operator and its associated quadratic Jacobi algebra.
Genest, Vincent X. +3 more
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On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices
Axioms, 2013 The main aim of this paper is the development of suitable bases that enable the direct series representation of orthogonal polynomial systems on nonuniform lattices (quadratic lattices of a discrete or a q-discrete variable). We present two bases of this
Salifou Mboutngam +3 more
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