Results 51 to 60 of about 2,224 (227)

Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study the direct and inverse scattering problems for the Zakharov‐Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed spectral parameter. In terms of that parameter, the Jost solutions are convergent power series in the unit disk.
Vladislav V. Kravchenko
wiley   +1 more source

Monomiality and integrals involving Laguerre polynomials [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1998
We introduce the concept of quasi monomiality for Laguerre polynomials and study the associated iso-spectral problems. We show that the use of this concept may be particularly useful in application, providing e.g.
G. Dattoli, A. Torre, G. Mazzacurati
doaj  

Monotonicity of zeros of Laguerre polynomials

Journal of Computational and Applied Mathematics, 2009
AbstractDenote by xnk(α), k=1,…,n, the zeros of the Laguerre polynomial Ln(α)(x). We establish monotonicity with respect to the parameter α of certain functions involving xnk(α). As a consequence we obtain sharp upper bounds for the largest zero of Ln(α)(x).
Dimitrov, Dimitar Kolev, Rafaeli, Fernando R.   +1 more
openaire   +3 more sources

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source

Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

Abstract and Applied Analysis, 2013
We present a direct solution technique for approximating linear multiterm fractional differential equations (FDEs) on semi-infinite interval, using generalized Laguerre polynomials.
D. Baleanu, A. H. Bhrawy, T. M. Taha
doaj   +1 more source

A new class of Laguerre based Frobenius type Eulerian numbers and polynomials

Boletim da Sociedade Paranaense de Matemática, 2022
In this article, we introduce a new class of generalized Laguerre-based Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques.
Waseem Ahmad khan, Koottakkaran Sooppy Nisar   +1 more
doaj   +1 more source

Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware

Advanced Quantum Technologies, EarlyView.
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, Nora Bauer, George Siopsis, Enrique P. Blair   +3 more
wiley   +1 more source

Comparison between the Propagation Properties of Bessel–Gauss and Generalized Laguerre–Gauss Beams

Photonics, 2023
The connections between Laguerre–Gauss and Bessel–Gauss beams, and between Hermite–Gauss and cosine-Gauss beams are investigated. We review different asymptotic expressions for generalized Laguerre and Hermite polynomials of large radial/transverse order.
Colin J. R. Sheppard, Miguel A. Porras
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

Pricing VXX Options With Observable Volatility Dynamics From High‐Frequency VIX Index

Journal of Futures Markets, Volume 45, Issue 7, Page 771-801, July 2025.
ABSTRACT This paper develops a discrete‐time joint analytical framework for pricing volatility index (VIX) and VXX options consistently. We show that our framework is more flexible than continuous‐time VXX models as it allows the information contained in the high‐frequency VIX index to be incorporated for the joint pricing of VIX and VXX options, and ...
Shan Lu
wiley   +1 more source