Results 211 to 220 of about 14,680 (235)

Hahn class orthogonal polynomials

1998
The authors find several sets of equivalent conditions for orthogonal polynomials to satisfy the operator equation \[ p_2(x) \delta^2 y\bigl ((x-w)/q\bigr)+ p_1(x)\delta y\bigl((x-w)/q \bigr)= \lambda_ny(x) \] where \(\delta\) is Hahn's operator, \(p_2(x)\) and \(p_1(x)\) are polynomials of degrees at most two and one, and \(\lambda_n\) is an ...
Kil H. Kwon, D. W. Lee, S. B. Park, B. H. Yoo   +3 more
openaire   +1 more source

Two operator representations for the trivariate q-polynomials and Hahn polynomials

The Ramanujan Journal, 2015
The author of this paper studies a new class of trivariate \(q\)-polynomials. He also provides the generating function, Mehler's formula, Rogers formula, linearization formula, etc., for the trivariate \(q\)-polynomials.
openaire   +1 more source

Hahn Polynomials, Discrete Harmonics, andt-Designs

SIAM Journal on Applied Mathematics, 1978
Let \(L_q(v)\) be the lattice of subsets of a given \(v\)-set or the lattice of the subspaces of a given \(v\)-dimensional vector space over \(\mathrm{GF}(q)\), in case \(q=1\) or \(q= \text{prime}\) power, respectively. Denote by \(X\) the vertex set of the lattice, by \(\le\) the ordering relation, by \(\wedge\) and \(\vee\) the meet and joint ...
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A Generalization of Gasper's Kernel for Hahn Polynomials: Application to Pollaczek Polynomials

Canadian Journal of Mathematics, 1978
In this paper we consider a generalization of the discrete Poisson kernel for the Hahn polynomials obtained recently by Gasper [6]. The Hahn polynomials of degree n are defined by and are ...
openaire   +3 more sources

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  

Entanglement and control of single nuclear spins in isotopically engineered silicon carbide

Nature Materials, 2020
Alexandre Bourassa, Christopher P Anderson, Kevin C Miao   +2 more
exaly  

Quantum Interference, Graphs, Walks, and Polynomials

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

Spectral Methods for Numerical Relativity

Living Reviews in Relativity, 2009
Philippe Grandclément, Jerome Novak
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  

Improved CO2 reduction activity towards C2+ alcohols on a tandem gold on copper electrocatalyst

Nature Catalysis, 2018
Carlos Gilberto Morales-Guio, Jeremy T Feaster, Lei Wang   +2 more
exaly