Results 91 to 100 of about 32,202 (209)
Abstract The ecological literature often features phenomenological dynamic models lacking robust validation against observational data. Reverse engineering ecological models from data is an alternative approach, where time series data are utilized to infer or fit a stochastic differential equation. This process, known as system reconstruction, presents
Babak M. S. Arani +2 more
wiley +1 more source
On the Thermal Behavior during Spatial Anisotropic Femtoseconds Laser-DNA Interaction: The Crucial Role of Hermite Polynomials. [PDF]
Oane M, Mihailescu CN, Trefilov AMI.
europepmc +1 more source
A theorem concerning Fourier transforms: A survey
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley +1 more source
Advancements in q-Hermite-Appell polynomials: a three-dimensional exploration
In 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
doaj +1 more source
An Inequality for Hermite Polynomials [PDF]
1. G. Higman, Enumerating p-groups, I: Inequalities, Proc. London Math. Soc. vol. 10 (1960) pp. 24-30. 2. , Enumerating p-groups, II: Problems whose solution is PORC, Proc. London Math. Soc. vol. 10 (1960) pp. 566-582. 3. M. Hall, Jr., The theory of groups, New York, Macmillan, 1959. 4. K. W.
openaire +2 more sources
Composite Hermite and Anti-Hermite Polynomials
The Weber-Hermite differential equation, obtained as the dimensionless form of the stationary Schroedinger equation for a linear harmonic oscillator in quantum mechanics, has been expressed in a generalized form through introduction of a constant conjugation parameter according to the transformation , where the conjugation parameter is set to unity ...
openaire +2 more sources
On generalized Hermite polynomials
This article is devoted to establishing new formulas concerning generalized Hermite polynomials (GHPs) that generalize the classical Hermite polynomials.
Waleed Mohamed Abd-Elhameed +1 more
doaj +1 more source
On the transition of Charlier polynomials to the Hermite function
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
Properties and applications of generalized 1-parameter 3-variable Hermite-based Appell polynomials
We 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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On the degree of approximation of the Hermite and Hermite-Fejer interpolation
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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