Results 221 to 230 of about 561,686 (251)

Numerical study of non-singular variable-order time fractional coupled Burgers’ equations by using the Hahn polynomials

Engineering computations, 2020
M. Heydari, Z. Avazzadeh
semanticscholar   +2 more sources

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 ...
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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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Continuous Hahn polynomials and the Heisenberg algebra

Journal of Mathematical Physics, 1987
Continuous Hahn polynomials have surfaced in a number of somewhat obscure physical applications. For example, they have emerged in the description of two-photon processes in hydrogen, hard-hexagon statistical mechanical models, and Clebsch–Gordan expansions for unitary representations of the Lorentz group SO(3,1).
Bender, Carl M., Mead, Lawrence R., Pinsky, S. S.   +2 more
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A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros

Journal of Approximation Theory, 2021
C. F. Bracciali, Jéssica V. da Silva, A. Ranga   +2 more
semanticscholar   +1 more source

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
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An Addition Theorem for Hahn Polynomials: The Spherical Functions

SIAM Journal on Mathematical Analysis, 1978
An addition formula for the Hahn polynomials $Q_k (x;\alpha ,\beta ,N)$ is derived for the parameter values $\beta = - N - 1$, $\alpha \ne - 1, - 2, \cdots , - N$, $N = 1,2,3, \cdots $. The method is to realize $Q_k $ as a spherical function for the values $\alpha = - N - 1, - N - 2, \cdots $ and to use harmonic analysis on the finite homogeneous space
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Product Formulas for q-Hahn Polynomials

SIAM Journal on Mathematical Analysis, 1980
Product formulas for general q-Hahn polynomials are derived from counting arguments involving subspaces of a finite vector space.
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Partial 3D Image Reconstruction by Cuboids Using Stable Computation of Hahn Polynomials

Lecture Notes in Electrical Engineering, 2021
M. A. Tahiri, H. Karmouni, A. Tahiri, M. Sayyouri, H. Qjidaa   +4 more
semanticscholar   +1 more source

Discrete Hahn polynomials for numerical solution of two-dimensional variable-order fractional Rayleigh–Stokes problem

Computational and Applied Mathematics, 2018
F. Salehi, H. Saeedi, M. M. Moghadam
semanticscholar   +2 more sources