Results 21 to 30 of about 90,721 (207)
Constructing bispectral dual Hahn polynomials [PDF]
arXiv, 2014 Using the concept of $\mathcal{D}$-operator and the classical discrete family of dual Hahn, we construct orthogonal polynomials $(q_n)_n$ which are also eigenfunctions of higher order difference ...
Duran, Antonio J.
core +1 more source
An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given.
Abdallah Ghressi +2 more
doaj +2 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 +2 more
doaj +2 more sources
Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023 The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this paper, a new orthogonal system of nonpolynomial basis functions is introduced and used to solve a class of time-fractional partial differential equations that have nonsmooth solutions.
N. Mollahasani
doaj +1 more source
Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
SciPost Physics Proceedings, 2023 The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé, Luc Vinet
doaj +1 more source
Advanced Technologies and Worker Voice
Economica, Volume 90, Issue 357, Page 1-38, January 2023., 2023 The interplay between labour institutions and firm‐level adoption of new technologies such as robotics and other advanced digital tools remains poorly understood. Using a cross‐sectional sample of more than 20,000 European establishments, we document a positive association between shop‐floor employee representation (ER) and utilization of emerging ...
Filippo Belloc +2 more
wiley +1 more source
Wet and dry extremes reduce arthropod biomass independently of leaf phenology in the wet tropics
Global Change Biology, Volume 29, Issue 2, Page 308-323, January 2023., 2023 Although two‐thirds of terrestrial vertebrates consume insects and spiders, how changing rainfall regimes will affect arthropods remains poorly understood. Using spatiotemporal variation in tropical montane climate as a natural experiment, we show arthropod biomass maxima at intermediate rainfall as 3 months of both wet and dry extremes reduced ...
Felicity L. Newell +2 more
wiley +1 more source
Dancing with the Stars: Does Playing in Elite Tournaments Affect Performance?
Oxford Bulletin of Economics and Statistics, Volume 85, Issue 1, Page 1-34, February 2023., 2023 Abstract This article documents spillover effects using participation in an elite international football tournament as a laboratory. Using a novel dataset from top 5 European football leagues, we find that participation in highly selective UEFA Champions League (UCL) generates large performance gains to participating teams in their domestic leagues ...
İlhan Güner, Mehdi Hamidi Sahneh
wiley +1 more source
Quantum communication through a spin chain with interaction determined by a Jacobi matrix [PDF]
, 2009 We obtain the time-dependent correlation function describing the evolution of a single spin excitation state in a linear spin chain with isotropic nearest-neighbour XY coupling, where the Hamiltonian is related to the Jacobi matrix of a set of orthogonal
Chi Chung Ling +11 more
core +4 more sources