Results 1 to 10 of about 92,356 (230)
Askey-Wilson polynomials: an affine Hecke algebraic approach [PDF]
arXiv, 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.
Masatoshi Noumi, Jasper V. Stokman
arxiv +3 more sources
Multiple Wilson and Jacobi-Pineiro polynomials [PDF]
J. Approx. Theory 132 (2005), 155-181, 2003 We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Pade polynomials) of type II. These polynomials can be written as a Jacobi-Pineiro transform, which is a generalization of the Jacobi transform for Wilson polynomials, found by T.H. Koornwinder.
Bernhard Beckermann +2 more
arxiv +3 more sources
Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials [PDF]
J.Math.Phys.41:7715-7751,2000, 1999 We study the tensor product of principal unitary representations of the quantum Lorentz group, prove a decomposition theorem and compute the associated intertwiners. We show that these intertwiners can be expressed in terms of complex continuations of 6j symbols of U_q(su(2)).
E. Buffenoir, Ph. Roche
arxiv +3 more sources
On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
doaj +2 more sources
Raising and Lowering Operators for Askey-Wilson Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In this paper we describe two pairs of raising/lowering operators for Askey-Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the ''classical'' properties
Siddhartha Sahi
doaj +4 more sources
The factorization method for the Askey-Wilson polynomials. [PDF]
arXiv, 1998 A special Infeld-Hall factorization is given for the Askey-Wilson second order q-difference operator. It is then shown how to deducd a generalization of the corresponding Askey-Wilson polynomials.
Gaspard Bangerezako
arxiv +3 more sources
On First type characterizations of Askey-Wilson polynomials [PDF]
arXiv, 2023 In this chapter we characterize Askey-Wilson polynomials including specific and limiting cases of them by some structure relations of the first type.
D. Mbouna, A. Suzuki
arxiv +3 more sources
Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials [PDF]
, 2016 A construction is given of the most general representations of the q-oscillator algebra where both generators are tridiagonal. It is shown to be connected to the Askey-Wilson polynomials.
Satoshi Tsujimoto +2 more
arxiv +3 more sources
Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials [PDF]
arXiv, 2004 In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials and their special and limit cases.
George Gasper, Mizan Rahman
arxiv +3 more sources
Liquid-vapor equilibrium and evaporation rate of Cd-Zn liquid alloy [PDF]
Journal of Mining and Metallurgy. Section B: Metallurgy, 2021 In this study, LVE (liquid-vapor equilibrium) data of cadmium-zinc system were determined at a pressure of 7.5 Pa. We compare the use of the Redlich-Kister polynomials with the Wilson equation in fitting activities.
Zhao W.-C., Xu B.-Q., Yang H.-W.
doaj +1 more source