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Compact way to generate guide star for wavefront sensing in Besse...
We introduce a compact method for generating guide stars to enable direct wavefront sensing in Bessel two-photon microscopy. By sequentially modulating an axicon phase and a thin lens phase using a sp...
Time-of-flight resolved stimulated Raman scattering microscopy us...
We present a novel time-of-flight resolved Bessel light bullet-enabled stimulated Raman scattering (B2-SRS) microscopy for deeper tissue 3D chemical imaging with high resolution without a need for mec...
Bessel Functions | Springer Nature Link
Bessel functions are perhaps the most frequently used special functions. Typical problems that lead to Bessel functions arise in solving the Helmholtz equation
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Estimation of the uniform modulus of continuity of the generalize...
We study generalized Bessel potentials constructed by means of convolutions of functions with kernels that generalize the classical Bessel-Macdonald kernel
Bessel Functions | Springer Nature Link
Bessel functions are perhaps the most frequently used special functions. Typical problems that lead to Bessel functions arise in solving the Helmholtz equation
...
Fractional Bessel Integrals and Derivatives on Semi-axes | Spring...
In this paper we study fractional powers of the Bessel differential operator. The fractional powers are defined explicitly in the integral form without use of integral transforms in its definitions. S...
3D live fluorescence imaging of cellular dynamics using Bessel be...
3D live imaging is important for a better understanding of biological processes, but it is challenging with current techniques such as spinning-disk confocal microscopy. Bessel beam plane illumination...
Bessel Functions | Springer Nature Link
We define the Bessel functions of the first kind as solutions of Bessel’s equation (Sect. 7.1). They can be expressed by means of the modified hypergeometric functions
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Multipliers in spaces of Bessel potentials: The case of indices o...
The aim of the paper is to study spaces of multipliers acting from the Bessel potential space H (ℝ n ) to the other Bessel potential space H (ℝ
Multipliers in spaces of Bessel potentials: The case of indices o...
The aim of the paper is to study spaces of multipliers acting from the Bessel potential space H (ℝ n ) to the other Bessel potential space H (ℝ
Bessel Functions | Springer Nature Link
We define the Bessel functions of the first kind as solutions of Bessel’s equation (Sect. 7.1). They can be expressed by means of the modified hypergeometric functions
...
Fractional Bessel Integrals and Derivatives on Semi-axes | Spring...
In this paper we study fractional powers of the Bessel differential operator. The fractional powers are defined explicitly in the integral form without use of integral transforms in its definitions. S...
Bessel Functions and Their Applications | B G Korenev | Taylor & ...
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of
Initial boundary value problems for a fractional differential equ...
Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are
Fast numerical integration of highly oscillatory Bessel transform...
In this article, we propose an efficient hybrid method to calculate the highly oscillatory Bessel integral $$\int _{0}^{1} \frac{f(x)}{x-\tau } J_{m} (\ome
From the hyper-Bessel operators of Dimovski to the generalized fr...
In 1966 Ivan Dimovski introduced and started detailed studies on the Bessel type differential operators B of arbitrary (integer) order m ≥ 1. He also
[hep-th/9304063] Level-Spacing Distributions and the Bessel Kerne...
Abstract page for arXiv paper hep-th/9304063: Level-Spacing Distributions and the Bessel Kernel
Analysis of Solutions of Some Multi-Term Fractional Bessel Equati...
We construct the existence theory for generalized fractional Bessel differential equations and find the solutions in the form of fractional or logarithmic
An algorithm for the rapid numerical evaluation of Bessel functio...
We describe a method for the rapid numerical evaluation of the Bessel functions of the first and second kinds of nonnegative real orders and positive argum
[2207.11475] Strong coupling expansion in $\mathbf{\mathcal N=2}$...
Abstract page for arXiv paper 2207.11475: Strong coupling expansion in $\mathbf{\mathcal N=2}$ superconformal theories and the Bessel kernel