Results 111 to 120 of about 31,835 (251)
Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary The autonomic nervous system regulates cardiovascular activity during sleep, likely impacting cardiovascular health. Aging, a primary cardiovascular risk factor, is associated with cardiac autonomic disbalance and diminished sleep slow waves. Therefore, slow waves may be linked to aging, autonomic activity and cardiovascular health. However, it
Stephanie Huwiler +5 more
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, 2016 In this paper, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials.
Kim, Taekyun, Kim, Dae San
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A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
Mathematics, 2018 In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs.
Aydin Secer +2 more
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Numerical modelling investigation of finite‐amplitude subaqueous dune saturation
Earth Surface Processes and Landforms, Volume 50, Issue 4, 30 March 2025.Our work demonstrates how finite amplitude dunes in limited depth flows reach a saturation state, preventing their growth. Saturation occurs when the intensity of the turbulent mixing reaches critical thresholds, enhanced by the confinement, reducing inertia and stirring large quantities of suspended sediment downstream of dune crests.
Arnaud Doré, Giovanni Coco
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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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Jacobian‐Free Vectorial Iterative Scheme to Find Simple Several Solutions Simultaneously
Mathematical Methods in the Applied Sciences, Volume 48, Issue 5, Page 5718-5730, 30 March 2025.ABSTRACT This manuscript is devoted to a derivative‐free parametric iterative step to obtain roots simultaneously for both nonlinear systems and equations. We prove that when it is added to an arbitrary scheme, it doubles the convergence order of the original procedure and defines a new algorithm that obtains several solutions simultaneously. Different
Alicia Cordero +2 more
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An extremal property of Hermite polynomials
Journal of Mathematical Analysis and Applications, 2004 AbstractLet Hn be the nth Hermite polynomial, i.e., the nth orthogonal on R polynomial with respect to the weight w(x)=exp(−x2). We prove the following: If f is an arbitrary polynomial of degree at most n, such that |f|⩽|Hn| at the zeros of Hn+1, then for k=1,…,n we have ‖f(k)‖⩽‖Hn(k)‖, where ‖·‖ is the L2(w;R) norm.
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On the transition of Charlier polynomials to the Hermite function
, 2013 It has been known for over 70 years that there is an asymptotic transition of Charlier polynomials to Hermite polynomials. This transition, which is still presented in its classical form in modern reference works, is valid if and only if a certain ...
Nilsson, Martin
core
Curve Approximation by Means of Functions Analogous to the Hermite Polynomials [PDF]
, 1932 Herrick E. H. Greenleaf
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Theory of generalized hermite polynomials
Computers & Mathematics with Applications, 1994 AbstractWe introduce multivariable generalized forms of Hermite polynomials and analyze both the Gould-Hopper type polynomials and more general forms, which are analogues of the classical orthogonal polynomials, since they represent a basis in L2(RN) Hilbert space, suitable for series expansion of square summable functions of N variables: Moreover, the
Giuseppe Dattoli +4 more
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