Results 21 to 30 of about 561,686 (251)

Dual -1 Hahn polynomials and perfect state transfer [PDF]

, 2011
We find all the $XX$ spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials $R_n(x; \alpha,\beta,N)$. For $N$ odd we recover a model that had already been identified while for $N$ even, we obtain a new system ...
AKay, Alexei Zhedanov, Luc Vinet, LVinet, NStoilova, RKoekoek, Rosenblum M, Shi T, STsujimoto, STsujimoto, STsujimoto, Szegó G   +11 more
core   +2 more sources

Hahn polynomials on polyhedra and quantum integrability [PDF]

Advances in Mathematics, 2020
Plamen Iliev, Yuan Xu
openalex   +3 more sources

A Hahn-Type Characterization of Generalized Hermite Polynomials Through a Dunkl-Based Raising Operator [PDF]

Mathematics
In this paper, we study Hahn’s problem with respect to a Dunkl-perturbed raising operator. More precisely, we prove that, up to a dilation, the generalized Hermite polynomials are the only Tμ,α-classical symmetric orthogonal polynomials, where Tμ,α=Tμ ...
Khalid Ali Alanezy, Jihad Souissi
doaj   +2 more sources

Spectral accuracy for the Hahn polynomials [PDF]

, 2016
We consider in this paper the Hahn polynomials and their application in numerical methods. The Hahn polynomials are classical discrete orthogonal polynomials. We analyse the behaviour of these polynomials in the context of spectral approximation of partial differential equations.
René Goertz, Philipp Öffner
  +5 more sources

On the Orthogonality of q-Classical Polynomials of the Hahn Class [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation on a q-linear lattice by means of a qualitative analysis of the q-Pearson ...
Renato Álvarez-Nodarse, Rezan Sevinik Adıgüzel, Hasan Taşeli   +2 more
doaj   +5 more sources

The orthogonal Shmaliy polynomials are Hahn polynomials [PDF]

, 2021
Morales-Mendoza et al. present in 2013 a new class of discrete orthogonal polynomials. They use these polynomials to design an unbiased FIR filter. In their paper they make the statement that a representation of the polynomials via hypergeometric functions is unknown. However Shakibaei Asli et al.
Enno Diekema
openalex   +3 more sources

Hahn polynomials for hypergeometric distribution [PDF]

Advances in Applied Mathematics, 2020
Orthogonal polynomials for the multivariate hypergeometric distribution are defined on lattices in polyhedral domains in $\RR^d$. Their structures are studied through a detailed analysis of classical Hahn polynomials with negative integer parameters. Factorization of the Hahn polynomials is explored and used to explain the relation between the index ...
P. Iliev, Yuan Xu
semanticscholar   +4 more sources

Some Laguerre-Hahn Orthogonal Polynomials of Class One

Asia Pacific Journal of Mathematics, 2018
M. Sghaier, M. Zaatra, A. Khlifi
doaj   +2 more sources

Hahn polynomials method for ψ-Caputo fractional diffusion-wave equation involving damping and reaction terms

Alexandria Engineering Journal
In this paper, the ψ-Caputo derivative is employed to develop a novel formulation of the fractional 2D diffusion-wave equation, incorporating damping and reaction terms.
M.H. Heydari, M.A. Zaky, D. Baleanu, M. Bayram   +3 more
doaj   +2 more sources

Interlacing of zeros from different sequences of Meixner-Pollaczek, Pseudo-Jacobi and Continuous Hahn polynomials [PDF]

Numerical Algorithms
Aletta Jooste, Kerstin Jordaan
semanticscholar   +4 more sources