Results 91 to 100 of about 128,844 (218)
Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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Quantifying Non‐Maxwellian Properties of Ion Populations During Reconnection at Earth's Magnetopause
Geophysical Research Letters, Volume 53, Issue 19, 16 October 2026.Abstract We investigate ion velocity‐space features within the exhaust of magnetopause reconnection using a global hybrid‐Vlasov simulation. The Hermite transform and Gaussian Mixture Model (GMM) are applied to quantify the complexity of velocity‐space structures that arise during the mixing of magnetospheric and magnetosheath ion populations.
I. Zaitsev +7 more
wiley +1 more source
On the degree of approximation of the Hermite and Hermite-Fejer interpolation
International Journal of Mathematics and Mathematical Sciences, 1992 Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Materials (Basel), 2023 Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source
Estimation of Underlying Normal Distribution Parameters From Dichotomized Data
Biometrical Journal, Volume 68, Issue 5, October 2026.ABSTRACT Accurately estimating the parameters of a continuous distribution from dichotomized or aggregated data is a common problem in biomedical and environmental research. Many studies report only the proportion of subjects exceeding a threshold, without releasing individual‐level measurements.
Zhaoze Liu +4 more
wiley +1 more source
Uniform approximation of eigenvalues in Laguerre and Hermite beta-ensembles by roots of orthogonal polynomials [PDF]
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
Laser &Photonics Reviews, Volume 20, Issue 20, 21 October 2026.An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu +5 more
wiley +1 more source
A curious $q$-analogue of Hermite polynomials
, 2010 17 pagesInternational audienceTwo well-known $q$-Hermite polynomials are the continuous and discrete $q$-Hermite polynomials. In this paper we consider a new family of $q$-Hermite polynomials and prove several curious properties about these polynomials ...
Zeng, Jiang +3 more
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Polynomial Preconditioning for Indefinite Matrices
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
wiley +1 more source
Advances in Difference Equations, 2019 In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim +3 more
doaj +1 more source