Results 31 to 40 of about 165,948 (320)
Discrete Imaging Models for Three-Dimensional Optoacoustic Tomography using Radially Symmetric Expansion Functions [PDF]
Optoacoustic tomography (OAT), also known as photoacoustic tomography, is an emerging computed biomedical imaging modality that exploits optical contrast and ultrasonic detection principles.
Er Oraevsky+5 more
core +1 more source
Two representations of the Bessel zeta function are investigated. An incomplete representation is constructed using contour integration and an integral representation due to Hawkins is fully evaluated (analytically continued) to produce two infinite series.
M. G. Naber, B. M. Bruck, S. E. Costello
openaire +2 more sources
Some Fractional Operators with the Generalized Bessel–Maitland Function
In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop
R. S. Ali+5 more
doaj +1 more source
Strong annihilating pairs for the Fourier-Bessel transform [PDF]
The aim of this paper is to prove two new uncertainty principles for the Fourier-Bessel transform (or Hankel transform). The first of these results is an extension of a result of Amrein-Berthier-Benedicks, it states that a non zero function $f$ and its ...
Amrein+18 more
core +6 more sources
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function.
D. L. Suthar+4 more
doaj +1 more source
Turán determinants of Bessel functions [PDF]
In this paper first we survey the Tur\'an type inequalities and related problems for the Bessel functions of the first kind. Then we extend the known higher order Tur\'an type inequalities for Bessel functions of the first kind to real parameters and we deduce new closed integral representation formulae for the second kind Neumann type series of Bessel
Árpád Baricz, Tibor K. Pogány
openaire +5 more sources
Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers
In this paper, we take into account a two-dimensional inverse scattering problem for localizing small electromagnetic anomalies when they are surrounded by small, randomly distributed electromagnetic scatterers.
Chi Young Ahn+2 more
doaj +1 more source
Scale Space Smoothing, Image Feature Extraction and Bessel Filters
The Green function of Mumford-Shah functional in the absence of discontinuities is known to be a modified Bessel function of the second kind and zero degree. Such a Bessel function is regularized here and used as a filter for feature extraction.
Gunn, Steve, Mahmoodi, Sasan
core +1 more source
On hitting times of affine boundaries by reflecting Brownian motion and Bessel processes [PDF]
Firstly, we compute the distribution function for the hitting time of a linear time-dependent boundary $t\mapsto a+bt,\ a\geq 0,\,b\in \R,$ by a reflecting Brownian motion.
Marc Yor+3 more
core +2 more sources
Composition Formula for Saigo Fractional Integral Operator Associated with V-Function
In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak+2 more
doaj +1 more source