Results 41 to 50 of about 734,785 (209)
Anti-Plane Surface Disturbance
Solution to a problem of half-space subjected to anti-plane surface disturbance via Cagniard-de Hoop method has been investigated. The solution is very much dependent on the choice of branch cuts, branches, and their behavior along the appropriate ...
M. Azram
doaj +1 more source
Results Concerning the Analysis of Multi-Index Whittaker Function
A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +3 more
doaj +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
In the paper a convolution of the Hankel transform is constructed. The convolution is used to the calculation of an integral containing Bessel functions of the first kind.
Vu Kim Tuan, Megumi Saigo
doaj +1 more source
A Sinc Rule for the Hankel Transform
AbstractThis paper deals with the computation of the Hankel transform by means of the sinc rule applied after a special exponential transformation. An error analysis, particularly suitable for meromorphic functions, together with the parameter selection strategy, is considered. A prototype algorithm for automatic integration is also presented.
Denich, Eleonora, Novati, Paolo
openaire +3 more sources
Cross‐Entropy of Power Spectral Density Function: A Modal Identification Framework
ABSTRACT The power spectral density (PSD) function of measured structural response contains a significant amount of information, including the modal parameters (natural frequencies, damping ratios). Output‐only system identification or modal identification technique can be used for extracting such modal parameters from the measured response or its ...
Su‐Hong Kim +3 more
wiley +1 more source
The Central Hankel Transform [PDF]
This honors thesis presents the Hankel transform on an integer sequence, a function with colorful mathematical history and rich theoretical background. We then introduce a matricial Toeplitz transform that parallels some of most famous qualities of the ...
Levine, Matthew J
core +3 more sources
ABSTRACT Purpose To develop a slice‐wise blurring‐free and densely sampled TE‐resolved multiple‐TE (mTE) ASL sequence (TASL) for measuring blood–brain barrier (BBB) water exchange time. Methods A 3D TSE spiral‐readout pCASL sequence was modified to enable TE‐resolved acquisition.
Bo Li +11 more
wiley +1 more source
This study derives an analytical solution for the scattering of plane waves from a cylindrical cavity in a half-space of unsaturated porous media, based on the wave function expansion method and the Hankel function integral transform.
YANG Zhe 1, 2, LI Weihua 1, 2, ZHU Sainan 3
doaj +1 more source
Hankel transforms in generalized Fock spaces
A classical Fock space consists of functions of the form,ϕ↔(ϕ0,ϕ1,…,ϕq),where ϕ0∈ℂ and ϕq∈Lp(ℝq), q≥1. We will replace the ϕq, q≥1 with test functions having Hankel transforms.
John Schmeelk
doaj +1 more source

