Results 91 to 100 of about 19,826 (260)
N-fold Supersymmetry and Quasi-solvability Associated with X_2-Laguerre Polynomials
, 2010 We construct a new family of quasi-solvable and N-fold supersymmetric quantum systems where each Hamiltonian preserves an exceptional polynomial subspace of codimension 2.
Tanaka, Toshiaki
core +1 more source
Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, Volume 8, Issue 9, September 2025.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
A note on pseudo Jacobi polynomials
Ain 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
Stimulated Raman Scattering with Optical Vortex Beams
Advanced Photonics Research, Volume 6, Issue 7, July 2025.This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
wiley +1 more source
Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj +1 more source
Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients
, 2014 We look at some extensions of the Stieltjes-Wigert weight functions. First we replace the variable x by x^2 in a family of weight functions given by Askey in 1989 and we show that the recurrence coefficients of the corresponding orthogonal polynomials ...
Boelen, Lies, Van Assche, Walter
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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
Non-Linear Observer Design with Laguerre Polynomials. [PDF]
Entropy (Basel), 2022 Trigka M, Dritsas E.
europepmc +1 more source
A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials. [PDF]
BMC Med Res Methodol, 2023 Hassani H +6 more
europepmc +1 more source
A new class of Laguerre based Frobenius type Eulerian numbers and polynomials
, 2022 Waseem Ahmad Khan +1 more
openalex +1 more source