Results 81 to 90 of about 148,379 (206)

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

open access: yesNuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Interaction of Structured Light With Nanostructured Matter

open access: yesNanophotonics, 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   +6 more
wiley   +1 more source

Uniform approximation of eigenvalues in Laguerre and Hermite beta-ensembles by roots of orthogonal polynomials [PDF]

open access: yes
We derive strong uniform approximations for the eigenvalues in general Laguerre and Hermite beta-ensembles by showing that the maximal discrepancy between the suitably scaled eigenvalues and roots of orthogonal polynomials converges almost surely to zero
Dette, Holger, Imhof, Lorens A.
core  

Regulation of haemodynamic variables by Laguerre polynomials based model predictive control.

open access: yesASEAN Journal on Science and Technology for Development
Purpose: Cardiac output (CO) and Mean Arterial Pressure (MAP) are two haemodynamic variables that need regulation in clinical situations, particularly in post-cardiac surgery patients.
Sai Sandeep Boda   +2 more
doaj   +1 more source

A method for fractional Volterra integro-differential equations by Laguerre polynomials

open access: yesAdvances in Difference Equations, 2018
The main purpose of this study is to present an approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic
Dilek Varol Bayram   +1 more
doaj   +1 more source

Imaging of Biphoton States: Fundamentals and Applications

open access: yesAdvanced 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 note on pseudo Jacobi polynomials

open access: yesAin Shams Engineering Journal, 2013
The present paper is a study of pseudo-Jacobi polynomials which have been defined on the pattern of Shively’s pseudo-Laguerre polynomials. The paper contains generating functions, Rodrigues formula, recurrence relations and expansion of pseudo-Jacobi ...
Mumtaz Ahmad Khan   +2 more
doaj   +1 more source

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
doaj   +1 more source

A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials. [PDF]

open access: yesBMC Med Res Methodol, 2023
Hassani H   +6 more
europepmc   +1 more source

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