The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied to the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates proposed algorithm. The Ha...

N -th order Hankel Transforms are important for the reconstruction in Magnetic Resonance Imaging (MRI), CAT etc. In this contribution we derive new bounds on functions, which have bandlimited their n-th order Hankel Transform.

The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied to the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates proposed algorithm. The Ha...

Given a sequence an, we denote by hn the general term of the sequence with hn = |ai+j|0≤i,j≤n. The sequence hn is called the Hankel transform of an [19, 20, 21]. This sequence of Hankel determinants has attracted much attention of late amongst those working in the area of integer and polynomial sequences in particular [7, 18, 24, 32]. In this note we shall introduce the notion of a related Hurw...

The time-dependent radiative transport equation is solved for the three-dimensional spatially uniform infinite medium which is illuminated by a point unidirectional source using a spherical harmonics transform under rotation. Apart from the numerical evaluation of a spherical Hankel transform which connects the spatial distance with the radial distance in Fourier space, the dependence on all va...