Results 61 to 70 of about 3,132,788 (112)

Multi-indexed Wilson and Askey-Wilson polynomials

, 2015
As the third stage of the project multi-indexed orthogonal polynomials, we present, in the framework of 'discrete quantum mechanics' with pure imaginary shifts in one dimension, the multi-indexed Wilson and Askey-Wilson polynomials.
Sasaki, Ryu, Odake, Satoru
core  

Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials

, 2000
34 pages LaTex file, no figuresWe 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
E. Buffenoir, Ph. Roche, Roche, Ph., Buffenoir, E.   +3 more
core   +1 more source

Askey-Wilson relations and Leonard pairs

Askey-Wilson relations and Leonard pairs
It is known that if $ (A, A^*) $ is a Leonard pair, then the linear transformations $ A $, $ A^* $ satisfy the Askey-Wilson relations $ A^2A^* − \betaAA^*A + A^*A^2 − gamma(AA^* + A^*A) − sigmaA^* = gamma^*A^2 + omegaA + etaI, A^*2A − \betaA^*AA^* + AA^*2 − gamma^*(A^*A + AA^*) − sigma^*A = gammaA^*2 + omegaA^* + eta^*I $, for some scalars $ \beta $, $
openaire   +1 more source

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
core   +1 more source

On a generalization of the Rogers generating function. [PDF]

J Math Anal Appl, 2019
Cohl HS, Costas-Santos RS, Wakhare TV.
europepmc   +1 more source

Normalized Leonard pairs and Askey-Wilson relations

Normalized Leonard pairs and Askey-Wilson relations
Let $ V $ denote a vector space with finite positive dimension, and let $ (A, A^*) $ denote a Leonard pair on $ V $. As is known, the linear transformations $ A $, $ A^* $ satisfy the Askey-Wilson relations $ A^2A^* − \betaAA^*A + A^*A^2 − gamma(AA^* + A^*A) − sigmaA^* = gamma^*A^2 + omegaA + etaI, A^2A − \betaA^*AA^* + AA^*2 − gamma^*(A^*A + AA ...
openaire   +1 more source

Staircase tableaux, the asymmetric exclusion process, and Askey-Wilson polynomials. [PDF]

Proc Natl Acad Sci U S A, 2010
Corteel S, Williams LK.
europepmc   +1 more source

Two limit transitions involving multivariable Askey-Wilson polynomials [PDF]

, 1996
In the first part (without proofs) an orthogonality measure with partly discrete and partly continuous support will be introduced for the five parameter family of multivariable BC type Askey-Wilson polynomials.
Stokman, Jasper, Stokman, J.V.; id_orcid
core  

Boundary lines and Askey-Wilson type moments

A bstract The Wilson line defect half-indices for 3d $$ \mathcal{N} $$
Tadashi Okazaki, Douglas J. Smith
core   +1 more source

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.

core   +1 more source