Results 51 to 60 of about 901,840 (78)

Exceptional 𝑞-Askey-Wilson polynomials and continued fractions

, 1991
Two linearly independent solutions of the three-term recurrence relation for the q q -Askey-Wilson polynomials are obtained for the special cases a b c d = q m
Dharma P. Gupta, David R. Masson
core   +1 more source

An Expansion Formula for the Askey–Wilson Function [PDF]

, 2002
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.
Stokman, Jasper V., Stokman, J.V.
core   +1 more source

On orthogonal polynomials and related discrete integrable systems [PDF]

, 2006
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core   +2 more sources

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

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

A projection formula for the Askey-Wilson polynomials and an application

, 1988
A projection formula for p n ( x ; a , b , c , d | q ) {p_n}(x;a,b,c,d|q) , the Askey-
Mizan Rahman
core   +1 more source

Bispectral commuting difference operators for multivariable Askey-Wilson polynomials

, 2010
We construct a commutative algebra A z \mathcal A_{z} , generated by d d algebraically independent q q -difference operators acting on variables
Plamen Iliev
core   +1 more source

Orthogonal polynomials and Askey-Wilson algebra

, 2015
V práci nejprve předneseme základní poznatky z teorie ortogonálních polynomů a reprezentací algeber. Poté na příkladech ukážeme, jak spolu souvisí reprezentace algeber, Leonardovy páry a ortogonální polynomy.
Gromada Daniel
core  

A Polynomial Blossom for the Askey–Wilson Operator

, 2018
We introduce a blossoming procedure for polynomials related to the Askey–Wilson operator. This new blossom is symmetric, multiaffine, and reduces to the complex representation of the polynomial on a certain diagonal. This Askey–Wilson blossom can be used
Goldman, Ron, Simeonov, Plamen
core   +1 more source

Expansions in the Askey–Wilson polynomials

Journal of Mathematical Analysis and Applications, 2015
We give a general expansion formula of functions in the Askey-Wilson polynomials and using Askey-Wilson orthogonality we evaluate several integrals. Moreover we give a general expansion formula of functions in polynomials of Askey-Wilson type, which are ...
Mourad Ismail, Dennis Stanton
exaly   +3 more sources