Results 101 to 110 of about 31,835 (251)
Advancements in q-Hermite-Appell polynomials: a three-dimensional exploration
AIMS MathematicsIn this research, we leverage various $ q $-calculus identities to introduce the notion of $ q $-Hermite-Appell polynomials involving three variables, elucidating their formalism.
Mohra Zayed +3 more
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Mellin transforms with only critical zeros: generalized Hermite functions [PDF]
, 2013 We consider the Mellin transforms of certain generalized Hermite functions based upon certain generalized Hermite polynomials, characterized by a parameter $\mu>-1/2$.
Coffey, Mark W.
core
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
Using decomposition of the nonlinear operator for solving non‐differentiable problems
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba +3 more
wiley +1 more source
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
Three‐step iterative weight function scheme with memory for solving nonlinear problems
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 8024-8036, 15 May 2025.In this manuscript, we present a parametric family of derivative‐free three‐step iterative methods with a weight function for solving nonlinear equations. We study various ways of introducing memory to this parametric family in order to increase the order of convergence without new functional evaluations.
Alicia Cordero +3 more
wiley +1 more source
Properties and applications of generalized 1-parameter 3-variable Hermite-based Appell polynomials
AIMS MathematicsWe present a novel framework for introducing generalized 3-variable 1-parameter Hermite-based Appell polynomials. These polynomials are characterized by generating function, series definition, and determinant definition, elucidating their fundamental ...
Mohra Zayed, Shahid Ahmad Wani
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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
Hermite polynomials on the plane [PDF]
Numerical Algorithms, 2007 The space \({\cal P}_n\) of bivariate generalised Hermite polynomials of degree n is invariant under rotations. We exploit this symmetry to construct an orthonormal basis for \({\cal P}_n\) which consists of the rotations of a single polynomial through the angles \({\ell\pi\over n+1}\), l=0,...n.
openaire +2 more sources
The calculation of multidimensional Hermite polynomials and Gram-Charlier coefficients [PDF]
, 1970 Steven A. Berkowitz, F. J. Garner
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