Results 1 to 10 of about 134,453 (218)
On matrix-model approach to simplified Khovanov–Rozansky calculus
Physics Letters B, 2015 Wilson-loop averages in Chern–Simons theory (HOMFLY polynomials) can be evaluated in different ways – the most difficult, but most interesting of them is the hypercube calculus, the only one applicable to virtual knots and used also for categorification (
A. Morozov, And. Morozov, A. Popolitov
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Non-Symmetric Askey--Wilson Shift Operators [PDF]
arXivWe classify the shift operators for the symmetric Askey-Wilson polynomials and construct shift operators for the non-symmetric Askey-Wilson polynomials using two decompositions of non-symmetric Askey-Wilson polynomials in terms of symmetric ones. These shift operators are difference-reflection operators, and we discuss the conditions under which they ...
arxiv
Symmetry, Integrability and Geometry: Methods and Applications, 2008 This paper builds on the previous paper by the author, where a relationship between Zhedanov's algebra AW(3) and the double affine Hecke algebra (DAHA) corresponding to the Askey-Wilson polynomials was established.
Tom H. Koornwinder
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Solutions to the Associated q-Askey-Wilson Polynomial Recurrence Relation [PDF]
, 1994 Dharma P. Gupta, David R. Masson
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Zeros and orthogonality of the Askey-Wilson polynomials for q a root of unity [PDF]
, 1997 V. P. Spiridonov, Alexei Zhedanov
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An expansion formula for the Askey-Wilson function [PDF]
arXiv, 2001 The Askey-Wilson function transform is a q-analogue of the Jacobi function transform with kernel given by an explicit non-polynomial eigenfunction of the Askey-Wilson second order q-difference operator. The kernel is called the Askey-Wilson function.
arxiv
An expansion theorem concerning Wilson functions and polynomials
Acta Mathematica Hungarica, 2012 We prove that a relatively general even function f(x) (satisfying a vanishing condition, and also some analyticity and growth conditions) on the real line can be expanded in terms of a certain function series closely related to the Wilson functions introduced by Groenevelt in 2003.
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Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
doaj
Giant graviton expansion for general Wilson line operator indices
Journal of High Energy PhysicsWe propose a giant graviton expansion for Wilson line operator indices in general representations. The inserted line operators are specified by power sum symmetric polynomials p λ labeled by partitions λ.
Yosuke Imamura +2 more
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Spectral Analysis of Certain Schrödinger Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
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