Results 101 to 110 of about 561,686 (251)

Linear partial divided-difference equation satisfied by multivariate orthogonal polynomials on quadratic lattices

open access: yes, 2016
In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented.
Area, I.   +4 more
core   +1 more source

Battle of the giants: Clonal expansion rates, effects on wetland plant communities and competition between introduced Phragmites australis australis and native Phragmites australis americanus

open access: yesFunctional Ecology, Volume 39, Issue 11, Page 3238-3254, November 2025.
Read the free Plain Language Summary for this article on the Journal blog. Abstract The success of non‐native species in novel environments has received worldwide attention, resulting in dozens of hypotheses trying to explain this demographic success.
Bernd Blossey   +2 more
wiley   +1 more source

An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials

open access: yesSymmetry, 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   +1 more source

Difference Sturm--Liouville problems in the imaginary direction

open access: yes, 2011
We consider difference operators in $L^2$ on $\R$ of the form $$ L f(s)=p(s)f(s+i)+q(s) f(s)+r(s) f(s-i) ,$$ where $i$ is the imaginary unit. The domain of definiteness are functions holomorphic in a strip with some conditions of decreasing at infinity ...
Neretin, Yury
core   +1 more source

From Two‐Photon Grayscale Lithography to Scalable Replication: Enabling Complex Aspherical Micro‐Optics for Mass Production

open access: yesAdvanced Optical Materials, Volume 13, Issue 30, October 24, 2025.
This study presents the replication of micro‐optics fabricated by two‐photon polymerization grayscale lithography via electroplating and injection molding, enabling mass production without loss of precision. A diffractive aspherical micro‐lens array is fabricated and replicated, and its performance is compared before and after replication ...
Stefan Wagner   +7 more
wiley   +1 more source

Body Size and Risk of Death During the 1918 Influenza Pandemic in Alaska

open access: yesAmerican Journal of Human Biology, Volume 37, Issue 10, October 2025.
ABSTRACT In the aftermath of the 2009 H1N1 influenza A pandemic, research revealed the relationship between body size and the severity of influenza outcomes. However, there is little data available on body size in historical populations; therefore, the relationship between body size and 1918 influenza pandemic outcomes is virtually unknown.
Taylor P. van Doren   +3 more
wiley   +1 more source

Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials

open access: yes, 2005
The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
core   +2 more sources

An addition theorem for someq-Hahn polynomials

open access: yesMonatshefte f�r Mathematik, 1978
Theq-Hahn polynomials appear as functions on the lattice of subspaces of a finite-dimensional vector space over a finite field. Irreducible representations of the related general linear group are restricted to a maximal parabolic subgroup, and a specific description of the resulting irreducible components leads to an addition formula.
openaire   +1 more source

Laguerre–Hahn orthogonal polynomials on the real line [PDF]

open access: yesRandom Matrices: Theory and Applications, 2019
A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coefficients — the so-called Laguerre–Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential ...
openaire   +3 more sources

Deformed su(1,1) Algebra as a Model for Quantum Oscillators

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su}(1,1) can be extended to representations of this deformed algebra su(1,1)_gamma.
Elchin I. Jafarov   +2 more
doaj   +1 more source

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