Results 111 to 120 of about 33,296 (252)

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

Wind‐Driven Iron Supply by Ekman Buoyancy Flux Enhances Phytoplankton Bloom in the Antarctic Circumpolar Current

Journal of Geophysical Research: Oceans, Volume 130, Issue 8, August 2025.
Abstract The Southern Ocean today is a globally relevant sink for atmospheric carbon dioxide (CO2 ${\text{CO}}_{2}$), where the biological uptake of carbon through primary productivity is largely controlled by widespread iron (Fe) limitation. We analyze observations from a submesoscale‐resolving cross‐section of the Antarctic Circumpolar Current (ACC ...
R. Mole, W. J. von Appen, H. Becker, F. A. Haumann, T. Kanzow, A. Piñango, J. Stimpfle, S. Trimborn, E. F. Young   +8 more
wiley   +1 more source

Advancements in q-Hermite-Appell polynomials: a three-dimensional exploration

AIMS Mathematics
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 , Shahid Ahmad Wani, William Ramírez, Clemente Cesarano   +3 more
doaj   +1 more source

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, Neslihan Ozdemir, Mustafa Bayram   +2 more
doaj   +1 more source

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  

Properties and applications of generalized 1-parameter 3-variable Hermite-based Appell polynomials

AIMS Mathematics
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
doaj   +1 more source

Composite Hermite and Anti-Hermite Polynomials

Advances in Pure Mathematics, 2015
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   +3 more sources

On generalized Hermite matrix polynomials

The Electronic Journal of Linear Algebra, 2003
The authors investigate a family of Hermite matrix polynomials. In particular, they derive an explicit representation and an expansion of the matrix exponential in a series of these matrix polynomials. Some recurrence relations (in particular, the three-term recurrence relation) are given for these matrix polynomials.
K. A. M. Sayyed, Raed S. Batahan, M. S. Metwally   +2 more
openaire   +3 more sources

On the complex Hermite polynomials

Filomat, 2020
In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and completely new approach to the complex Hermite polynomials.
openaire   +2 more sources

Curve Approximation by Means of Functions Analogous to the Hermite Polynomials [PDF]

, 1932
Herrick E. H. Greenleaf
openalex   +1 more source