Results 121 to 130 of about 2,532 (147)

Askey-Wilson polynomials, kernel polynomials and association schemes

Graphs and Combinatorics, 1993
For many of the classical association schemes, there are specific sets of orthogonal polynomials associated with them. When these can be found explicitly, the polynomials can be given as hypergeometric or basic hypergeometric series. A new association scheme was constructed by \textit{A. A. Ivanov}, \textit{M. E. Muzichuk} and \textit{V. A. Ustimenko} [
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Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials

Canadian Mathematical Bulletin, 1996
AbstractNonnegative product linearization of the Askey-Wilson polynomials is shown for a wide range of parameters. As a corollary we obtain Rahman's result on the continuous q-Jacobi polynomials with α ≥ β > — 1 and α + β + 1 ≥ 0.
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Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)

1990
The Askey-Wilson polynomials are a 4-parameter family of \(q\)-orthogonal polynomials expressed by the basic hypergeometric series \({}_ 4\phi_ 3\). This article makes the observation that a (partially discrete) 4- parameter family of Askey-Wilson polynomials is realised as ``doubly associated spherical functions'' on the quantum group \(SU_ q(2 ...
Noumi, Masatoshi, Mimachi, Katsuhisa
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Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials

1988
One looks for [formal] orthogonal polynomials satisfying interesting differential or difference relations and equations (Laguerre-Hahn theory). The divided difference operator used here is essentially the Askey-Wilson operator $$Df\left( x \right) = \frac{{E_2 f\left( x \right) - E_1 f\left( x \right)}}{{E_2 x - E_1 x}} = \frac{{f\left( {y_2 \left(
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Comparison of Sequence of Physical Processes (SPP) and Fourier Transform Coupled with Chebyshev Polynomials (FTC) methods to Interpret Large Amplitude Oscillatory Shear (LAOS) Response of Viscoelastic Doughs and Viscous Pectin Solution

Food Hydrocolloids, 2022
Merve Yildirim Erturk, Simon A Rogers, Jozef L Kokini   +2 more
exaly  

Dynamic response and sensitivity analysis for mechanical systems with clearance joints and parameter uncertainties using Chebyshev polynomials method

Mechanical Systems and Signal Processing, 2020
Wuweikai Xiang
exaly  

Quantum Interference, Graphs, Walks, and Polynomials

Chemical Reviews, 2018
Yuta Tsuji, Ernesto Estrada, Ramis Movassagh   +2 more
exaly  

Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs

Journal of Business and Economic Statistics, 2019
Andrew Gelman, Guido Imbens
exaly  

Global Optimization with Polynomials and the Problem of Moments

SIAM Journal on Optimization, 2001
Jean Bernard Lasserre
exaly  

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy

Journal of Computational Physics, 2016
Natasha Flyer, Bengt Fornberg, Víctor Bayona   +2 more
exaly