Results 61 to 70 of about 18,676 (205)

A transference result of the $L^p$ continuity of the Jacobi Riesz transform to the Gaussian and Laguerre Riesz transforms [PDF]

, 2012
In this paper using the well known asymptotic relations between Jacobi polynomials and Hermite and Laguerre polynomials. We develop a transference method to obtain the $L^p$-continuity of the Gaussian-Riesz transform and the $L^p$-continuity of the ...
Eduard Navas, O. Urbina, Wilfredo
core  

Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum Transformations

, 2010
Simple derivation is presented of the four families of infinitely many shape invariant Hamiltonians corresponding to the exceptional Laguerre and Jacobi polynomials.
Agarwal R P, Caputo M, Craiem D, Diethelm K Weibeer M Le Mehaute A Machado J A Trigeasson J C Sabatier J, Dzherbashyan M M, Feder J, Humbert P, Humbert P, Kilbas A A, Mainardi F, Mittag-Leffler G, Momani S, Oldham K B, Podlubny I, Podlubny I, Spiegel M R, Tihonov A N, Trifce Sandev, Yuste S B, Živorad Tomovski   +19 more
core   +1 more source

Treeline Provides a Unified Strategy for Optimising Phylogenetic Trees Under Alternative Criteria

Molecular Ecology Resources, Volume 26, Issue 5, July 2026.
ABSTRACT The choice of optimality criterion is a key consideration in phylogenetic studies. Recent work challenges the notion that more computationally demanding optimisation objectives result in better phylogenetic trees. This finding underscores the importance of comparing trees across optimisation objectives in addition to different models of ...
Erik S. Wright
wiley   +1 more source

Application of the Laguerre Perturbed Galerkin Analysis Method for Solving Higher-Order Integro-Differential Equations

Jambura Journal of Mathematics
This study presents the development and implementation of a novel numerical method, the Laguerre Perturbed Galerkin (LPG) method, for solving higher-order integro-differential equations.
Ajimot Folasade Adebisi, Taiwo Adetola Ojurongbe, Kazeem Adekunle Okunola   +2 more
doaj   +1 more source

Interaction of Structured Light With Nanostructured Matter

Nanophotonics, Volume 15, Issue 9, 13 May 2026.
Structured light–matter interactions at the nanoscale remain poorly understood. We reveal a symmetry‐matched mechanism governing orbital‐angular‐momentum‐dependent extinction in gold nanodisk oligomers. Tailored diffractive optical elements generate flower‐like beams whose rotational symmetry dictates absorption. Experiments and a semi‐analytical model
Noah Apostolico, Leander Siegle, Luca Schmid, Tim‐Dominik Gómez, Julian Schwab, Mario Hentschel, Harald Giessen   +6 more
wiley   +1 more source

On multiple q-Laguerre polynomials

Journal of Classical Analysis, 2023
Summary: We study \(q\)-Laguerre multiple orthogonal polynomials. These polynomials are orthogonal with respect to \(q\)-analogues of Laguerre weight functions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained and their explicit representations are given.
Sadjang, P. Njionou, Mouncharou, J. C. Múnlúem, Mboutngam, Salifou   +2 more
openaire   +2 more sources

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, Volume 36, Issue 40, 18 May 2026.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function

Journal of Function Spaces, 2018
We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one,
Eduard Navas, Wilfredo O. Urbina
doaj   +1 more source

The Toda and Painlev\'e Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type

, 2018
Consider the Laguerre polynomials and deform them by the introduction in the measure of an exponential singularity at zero. In [Chen Y., Its A., J. Approx.
Cafasso, Mattia, de la Iglesia, Manuel D.   +1 more
core   +1 more source

Direct Photocurrent Detection of Optical Vortex Based on the Orbital Photo Galvanic Effect: Progress, Challenge, and Perspective

Advanced Science, Volume 13, Issue 27, 13 May 2026.
Direct orbital angular momentum (OAM) detection through the orbital photogalvanic effect offers a scalable route for integrated optoelectronics. This perspective evaluates symmetry‐driven material selection and demonstrates how electrode matrices enable the resolution of complex, mixed OAM modes.
Jinluo Cheng, Dehong Yang, Weiming Wang, Chang Xu, Zipu Fan, Dong Sun   +5 more
wiley   +1 more source