Results 81 to 90 of about 58,663 (206)
Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions
Journal of Applied Crystallography, EarlyView.A small‐angle scattering fitting function is derived for porous materials with arbitrary fractal dimension. It includes a correlation peak and a power law at higher q.Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude.
Henrich Frielinghaus
wiley +1 more source
Fractional Integration of the Product of Bessel Functions of the First Kind [PDF]
, 2010 Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09Two integral transforms involving the Gauss-hypergeometric function in the kernels are considered.
Kilbas, Anatoly, Sebastian, Nicy
core
Relative Arbitrage Opportunities With Interactions Among N Investors
Mathematical Finance, EarlyView.ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley +1 more source
Radon Transform on spheres and generalized Bessel function associated with dihedral groups [PDF]
, 2012 Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already considered by L. Gegenbauer. We actually use inversion formulas for Fourier and
Demni, Nizar
core +1 more source
Nanophotonics, Volume 15, Issue 9, 13 May 2026.An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev +5 more
wiley +1 more source
The Schrödinger Equation for a Free Particle: Generalized Bessel Solutions
AxiomsWe demonstrate the time evolution of a free particle in a three-dimensional space given that the initial condition is any arbitrary radial function f(r).
Francisco Soto-Eguibar +5 more
doaj +1 more source
Euler‐Top Gaussian Modes: Structured Beams From Quadratic Angular Momentum Dynamics
Nanophotonics, Volume 15, Issue 9, 13 May 2026.A new family of structured Gaussian light beams are introduced: Euler‐top Gaussian modes. Their ray‐orbital paths on the Gaussian Poincaré sphere correspond to the polhodes of the Euler top in classical angular momentum theory. This geometric and algebraic construction reveals a nonseparable mode family extending the familiar Hermite‐, Laguerre‐ and ...
Mark R. Dennis, Kerr Maxwell
wiley +1 more source
Interaction of Structured Light With Nanostructured Matter
Nanophotonics, Volume 15, Issue 9, 13 May 2026.Structured light–matter interactions at the nanoscale remain poorly understood. We reveal a symmetry‐matched mechanism governing orbital‐angular‐momentum‐dependent extinction in gold nanodisk oligomers. Tailored diffractive optical elements generate flower‐like beams whose rotational symmetry dictates absorption. Experiments and a semi‐analytical model
Noah Apostolico +6 more
wiley +1 more source
Artificial Intelligence Powers Protein Functional Annotation
Advanced Science, Volume 13, Issue 26, 8 May 2026.This review systematically summarizes how artificial intelligence advances protein functional annotation. It organizes existing methods into six unified modeling paradigms and analyzes their applications in Gene Ontology and Enzyme Commission prediction.
Wenkang Wang +4 more
wiley +1 more source
Starlikeness and Convexity of Generalized Bessel-Maitland Function
AxiomsThe main objective of this research is to examine a specific sufficiency criteria for the starlikeness and convexity of order δ, k-uniform starlikeness, k-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity ...
Muhammad Umar Nawaz +3 more
doaj +1 more source