An alternative approach to averaging in nonlinear systems using classical probability density
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 6, June 2024.Abstract The averaging method is a widely used technique in the field of nonlinear differential equations for effectively reducing systems with “fast” oscillations overlaying “slow” drift. The method involves calculating an integral, which can be straightforward in some cases but can also require simplifications such as series expansions. We propose an
Attila Genda +2 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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International Journal of Cosmetic Science, Volume 46, Issue 3, Page 357-367, June 2024.To our knowledge, this is the first study to examine the permeation behaviour of OPX for a range of single, binary and ternary solvent systems in human skin in vitro. The findings reported serve to further optimize vehicles that promote deposition of OPX on and in the skin.
Chun Fung Tang +2 more
wiley +1 more source
Some results on generalized Appell functions
Revista Técnica de la Facultad de Ingeniería, 2006 Recientemente A. H. Al-Shammery y S. L. Kalla presentaron generalizaciones para las funciones de Appell Fi(w,z) (i = 1,2,3), introduciendo los parámetros . En este trabajo se representan las funciones de Appell generalizadas (w,z) (i = 1,2,3) en términos
Jaime Castillo P, Leda Galué
doaj
Deformation in the large of some complex manifolds, II
, 2005 The compact complex manifolds considered in this article are principal torus bundles over a torus. We consider the Kodaira Spencer map of the complete Appell Humbert family (introduced by the first author in Part I) and are able to show that we obtain in
Catanese, Fabrizio, Frediani, Paola
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Line defect half-indices of SU(N) Chern-Simons theories
Journal of High Energy PhysicsWe study the Wilson line defect half-indices of 3d N $$ \mathcal{N} $$ = 2 supersymmetric SU(N) Chern-Simons theories of level k ≤ – N with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d chiral ...
Tadashi Okazaki, Douglas J. Smith
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Three-Point Safety Polymeric Belt Webbing versus Four-Point Belt for a Race Car in Frontal Crashes. [PDF]
Materials (Basel), 2023 Itu C, Vlase S.
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In Vitro Evaluation of the Adsorption Efficacy of Biochar Materials on Aflatoxin B1, Ochratoxin A, and Zearalenone. [PDF]
Animals (Basel), 2023 Appell M +5 more
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Special values of Gauss's hypergeometric series derived from Appell's series $F_1$ with closed forms
, 2016 In a previous work ([Eb]), the author proposed a method employing contiguity relations to derive hypergeometric series in closed form. In [Eb], this method was used to derive Gauss's hypergeometric series $_2F_1$ possessing closed forms. Here, we consider the application of this method to Appell's hypergeometetric series $F_1$ and derive several $F_1 ...
openaire +2 more sources
When Machine Learning and Deep Learning Come to the Big Data in Food Chemistry. [PDF]
ACS Omega, 2023 Tseng YJ, Chuang PJ, Appell M.
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