Results 31 to 40 of about 2,012 (183)
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
Medical Physics, Volume 52, Issue 6, Page 3723-3733, June 2025.Abstract Background The United States Food and Drug Administration (FDA) recently published a model observer‐based framework for the objective performance assessment of computed tomography (CT) metal artifact reduction (MAR) algorithms and demonstrated the framework's feasibility in the low‐contrast detectability (LCD) task‐based assessment of MAR ...
Grant Fong +6 more
wiley +1 more source
Time‐Series Factor Modeling and Selection
Journal of Financial Research, Volume 48, Issue 2, Page 839-875, Summer 2025.Abstract The article proposes a statistical time‐series factor model that incorporates deterministic orthogonal trend polynomials. Such polynomials allow capturing variation in returns without initially identifying a set of robust time‐series factors.
Michael Michaelides
wiley +1 more source
LAGUERRE AND MEIXNER POLYNOMIALS IN DUALITY [PDF]
Glasgow Mathematical Journal, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bispectral Laguerre type polynomials [PDF]
Integral Transforms and Special Functions, 2019 We study the bispectrality of Laguerre type polynomials, which are defined by taking suitable linear combinations of a fixed number of consecutive Laguerre polynomials. These Laguerre type polynomials are eigenfunctions of higher-order differential operators and include, as particular cases, the Krall-Laguerre polynomials. As the main results, we prove
Antonio J. Durán +1 more
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Towards data‐driven stochastic predictive control
International Journal of Robust and Nonlinear Control, Volume 35, Issue 7, Page 2588-2610, 10 May 2025.Summary Data‐driven predictive control based on the fundamental lemma by Willems et al. is frequently considered for deterministic LTI systems subject to measurement noise. However, little has been done on data‐driven stochastic control. In this paper, we propose a data‐driven stochastic predictive control scheme for LTI systems subject to possibly ...
Guanru Pan, Ruchuan Ou, Timm Faulwasser
wiley +1 more source
An upper bound for the Laguerre polynomials
Journal of Computational and Applied Mathematics, 1998 In this paper some properties of Laguerre polynomials \(L_n^{(\alpha)}(x)=\sum^n_{k=0}{n+\alpha\choose n-k}{(-x)^k\over k!}\) of degree \(n\) and order \(\alpha\) are investigated. Let \((\alpha+1)_n=(\alpha+1)(\alpha+2)\dots(\alpha+n)\) be the well known Pochhammer symbol and let \(\delta_n^{(\alpha)}(\sum^\infty_{k=0}a_k)={n!\over(\alpha+1)_n}\sum^n_{
Zdzisław Lewandowski, Jan Szynal
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Advanced Photonics Research, Volume 6, Issue 5, May 2025.A novel free‐space optical communication protocol that combines the benefits of partially coherent light sources with the decoding capabilities of convolutional neural networks is proposed. This approach establishes a robust communication link that can withstand atmospheric turbulence.
Linxuan Yao +6 more
wiley +1 more source
Laguerre-Sobolev orthogonal polynomials
Journal of Computational and Applied Mathematics, 1996 The authors consider the polynomials \(Q_n^{(\alpha)} (x)\) \((n= 0, 1, \dots)\) which are orthogonal with respect to the inner product \[ (f, g)_S= \int_0^{+\infty} f(x) g(x) x^\alpha e^{-x} dx+ \lambda \int_0^{+\infty} f' (x) g' (x) x^\alpha e^{-x} dx, \tag \(*\) \] and satisfy the relations \[ (Q_n^{(\alpha)}, x^m)_S= 0, \qquad m=0, 1, \dots, n-1 ...
Miguel A. Piñar +2 more
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