Results 41 to 50 of about 8,419 (218)

Revisiting PSF models: Unifying framework and high-performance implementation. [PDF]

J Microsc
Abstract Localisation microscopy often relies on detailed models of point‐spread functions. For applications such as deconvolution or PSF engineering, accurate models for light propagation in imaging systems with a high numerical aperture are required. Different models have been proposed based on 2D Fourier transforms or 1D Bessel integrals.
Liu Y, Stergiopoulou V, Chuah J, Bezzam E, Both GJ, Unser M, Sage D, Dong J.   +7 more
europepmc   +2 more sources

Table of Modified Bessel Functions

Mathematics of Computation, 1970
Abstract : The report contains 15 place tables of the modified Bessel Functions I sub zero (x), I sub one (x), ((e to the power minus x)I sub zero (x)), ((e to the power minus x) I sub one (x)), for x = 0(001)10.
J. W. W., Henry E. Fettis, James C. Caslin   +2 more
openaire   +2 more sources

Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application

Complexity, 2021
In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity.
Saad Ihsan Butt, Muhammad Umar, Khuram Ali Khan, Artion Kashuri, Homan Emadifar   +4 more
doaj   +1 more source

Oxygen‐Inhibition Driven Compartmentalization of Dextran Microgels: Toward Fusible Colloidal Biomaterial Inks for 3D Printing

Advanced Materials, EarlyView.
Harnessing oxygen inhibition as a materials design principle enables the universal fabrication of core–shell microgels with tunable radial crosslinking gradients. This conceptually simple yet highly versatile strategy generates fusible colloidal bioinks that combine structural hierarchy with adaptive porosity.
Selin Bulut, Thomas Bissing, Tudor Lile, Hannah Küttner, Daniel Günther, Cédric Bergerbit, Dan Eugen Demco, Laura De Laporte, Andrij Pich   +8 more
wiley   +1 more source

Some integral properties in the theory of generalized $k-$Bessel matrix functions

Journal of Innovative Applied Mathematics and Computational Sciences
The main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani, Ghazi S. Khammash, Ayman Shehata   +2 more
doaj   +1 more source

Discrete index transforms with Bessel and modified Bessel functions

Analysis, 2022
Abstract Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
openaire   +2 more sources

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation

Electronic Journal of Qualitative Theory of Differential Equations, 2022
We study the asymptotic behavior of solutions to the multidimensional diffusion (heat) equation with continuous time and discrete space. We focus on initial-value problems with bounded initial data, and provide sufficient conditions for the existence of ...
Antonín Slavík
doaj   +1 more source

Products of Bessel and modified Bessel functions

, 2016
37 pages, 1 ...
Baricz, Árpád, Szász, Róbert, Yağmur, Nihat   +2 more
openaire   +2 more sources

Respiratory‐Limbic Coupling via a Thalamic Circuit Alleviates Anxiety

Advanced Science, EarlyView.
This study delineates a conserved preBötCGlu→PVT→CeA circuit that gates anxiety and respiration. Activation of this circuit is anxiolytic and respiratory‐stabilizing, while its inhibition has the opposite effect. Mechanistically, PVT exerts its anxiolytic action via a disinhibitory microcircuit: its inputs preferentially target CeL GABAergic neurons ...
Shangyu Bi, Xiaoyi Wang, Huichun Luo, Ziteng Yue, Tianjiao Deng, Yuhang Liu, Xinxin Chen, Jianxu Zhao, Luo Shi, Ning Ma, Lingyan Mao, Jing Ding, Jiwen Xu, Ti‐Fei Yuan, Sheng Wang, Fang Yuan   +15 more
wiley   +1 more source