Results 71 to 80 of about 128,877 (315)

LU factorizations, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials

, 2006
For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q=0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations.
A. Okounkov, C. Krattenthaler, C.F. Dunkl, H.T. Koelink, I.G. Macdonald, K.T. Andrews, K.T. Andrews, L. Carlitz, M. Voit, P. Terwilliger, P. Terwilliger, P. Terwilliger, T.H. Koornwinder, Tom H. Koornwinder, U. Onn, Uri Onn, W. Groenevelt   +16 more
core   +2 more sources

Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials [PDF]

, 1998
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ∗pn∗, we find the analytical expressions of the expansion coefficients of any polynomial rm(x) and of the product rm(x)qj(x) in ...
Sánchez Dehesa, Jesús, Yáñez García, Rafael José, Álvarez Nodarse, Renato   +2 more
core   +1 more source

A characterization of the classical orthogonal discrete and q-polynomials

Journal of Computational and Applied Mathematics, 2007
In this paper we present a new characterization for the classical discrete and q-classical (discrete) polynomials (in the Hahn's sense).
Alfaro García, Manuel, Álvarez Nodarse, Renato   +1 more
openaire   +3 more sources

Zeros of classical orthogonal polynomials of a discrete variable [PDF]

Mathematics of Computation, 2012
In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called HellmannFeynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented.
Area, Ivan, Dimitrov, Dimitar K., Godoy, Eduardo, Paschoa, Vanessa G.   +3 more
openaire   +4 more sources

Generalized squeezed-coherent states of the finite one-dimensional oscillator and matrix multi-orthogonality

, 2012
A set of generalized squeezed-coherent states for the finite u(2) oscillator is obtained. These states are given as linear combinations of the mode eigenstates with amplitudes determined by matrix elements of exponentials in the su(2) generators.
Alexei Zhedanov, Atakishiyev N M, Luc Vinet, Niederer U, Niederer U, Vincent X Genest, Vinet L, Wang X, Wigner E P   +8 more
core   +1 more source

Quantum state transfer in spin chains with q-deformed interaction terms [PDF]

, 2010
We study the time evolution of a single spin excitation state in certain linear spin chains, as a model for quantum communication. Some years ago it was discovered that when the spin chain data (the nearest neighbour interaction strengths and the ...
Chakrabarti R, E I Jafarov, Golub G H, J Van der Jeugt, Kay A, Koekoek R Swarttouw R F, L'Innocente S, Regniers G   +7 more
core   +3 more sources

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

Advanced Materials, EarlyView.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman, Ruben Goeminne, Kuber Singh Rawat, Veronique Van Speybroeck   +3 more
wiley   +1 more source

Multi-indexed (q-)Racah Polynomials [PDF]

, 2012
As the second stage of the project multi-indexed orthogonal polynomials, we present, in the framework of `discrete quantum mechanics' with real shifts in one dimension, the multi-indexed (q-)Racah polynomials.
Andrews G E, Bannai E, Chakrabarti R, Darboux G, Fernández D J, Gendenshtein L E, Gladwell G M L, Grandati Y, Gómez-Ullate D, Ho C-L, Ho C-L, Ismail M E H, Koekoek R Swarttouw R F, Krein M G, Odake S, Odake S, Odake S, Parthasarathy P R, Quesne C, Quesne C, Quesne C, Ryu Sasaki, Sasaki R, Satoru Odake, Vinet L Zhedanov A   +24 more
core   +4 more sources

Symmetries for Casorati determinants of classical discrete orthogonal polynomials

, 2013
. Given a classical discrete family (pn)n of orthogonal polynomials (Charlier, Meixner, Krawtchouk or Hahn) and the set of numbers m + i − 1, i = 1, · · · , k and k,m ≥ 0, we consider the k × k Casorati determinants det((pn+j−1(m+ i−1))i,j=1), n ≥ 0.
A. J. Durán
semanticscholar   +1 more source

Fractal Divergences of Generalized Jacobi Polynomials

Mathematics, 2023
The notion of entropy (including macro state entropy and information entropy) is used, among others, to define the fractal dimension. Rényi entropy constitutes the basis for the generalized correlation dimension of multifractals.
Răzvan-Cornel Sfetcu, Vasile Preda
doaj   +1 more source