Results 31 to 40 of about 1,148 (183)
The Hankel Transform of q-Noncentral Bell Numbers
We define two forms of q-analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers.
Cristina B. Corcino +4 more
doaj +1 more source
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
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ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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
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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
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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
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 +2 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
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
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In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes.
A. Choudhary, D. Kumar, J. Singh
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