Results 71 to 80 of about 700 (183)

Phase Topology Stability of an Optical Vortex via an Electrically Controlled Twist‐Planar Oriented Liquid Crystal Fresnel Lens

Advanced Optical Materials, Volume 14, Issue 5, 2 February 2026.
A simple and efficient method for determining the stability of optical vortices via Fourier transform using a conventional spherical lens is presented. The theoretical and experimental results demonstrate a practical approach to directly and unambiguously measure the magnitude and sign of the topological charge of a beam without altering an ...
Elena Melnikova, Katsiaryna Pantsialeyeva, Dmitry Gorbach, Alexei Tolstik, Sergei Slussarenko Jr., Alina Karabchevsky   +5 more
wiley   +1 more source

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

Advances 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, Ayşegül Daşcıoğlu   +1 more
doaj   +1 more source

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Symmetry, 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

Non-Linear Observer Design with Laguerre Polynomials. [PDF]

Entropy (Basel), 2022
Trigka M, Dritsas E.
europepmc   +1 more source

Inequalities for orthonormal Laguerre polynomials

Journal of Approximation Theory, 2007
The following inequality is established: \[ 10^{-8}
openaire   +2 more sources

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

BMC Med Res Methodol, 2023
Hassani H, Avazzadeh Z, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS, Naraghirad E.   +6 more
europepmc   +1 more source

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. [PDF]

Soft comput, 2023
Avazzadeh Z, Hassani H, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS.   +5 more
europepmc   +1 more source

Hermite and Laguerre 2D polynomials

Journal of Computational and Applied Mathematics, 2001
The Hermite \(2D\) polynomials \(H_{m,n} (U;x,y)\) and Laguerre \(2D\) polynomials \(L_{m,n} (U;z,\overline z)\) are defined as functions of two variables with an arbitrary \(2D\) matrix \(U\) as parameter. Their properties are discussed, explicit representations are given and recursion relations and generating functions for these polynomials are ...
openaire   +1 more source

A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials

Miskolc Mathematical Notes
Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and ...
Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source