Results 81 to 90 of about 734,785 (209)

Green's function for the lossy wave equation

Revista Brasileira de Ensino de Física
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
doaj   +1 more source

An Accurate MHD Flux Solutions of a Viscose Fluid and Generalized Burgers' Model fluxwithin an Annular Pipe Under Sinusoidal Pressure

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018
The aim of this work presents the analytical studies of both the magnetohydrodynamic (MHD) flux and flow of the non-magnetohydro dynamic (MHD) for a fluid of generalized Burgers’ (GB) withinan annular pipe submitted under Sinusoidal  Pressure (SP ...
Hanan F. Qasim
doaj   +1 more source

New characterizations for Hankel transformable spaces of Zemanian

International Journal of Mathematics and Mathematical Sciences, 1996
In this paper we obtain new characterizations of the Zemanian spaces Hμ, and H′μ.
J. J. Betancor
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The Boas Problem on Hankel Transforms [PDF]

Journal of Fourier Analysis and Applications, 2019
Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are also given.
openaire   +3 more sources

Computation of the Hankel transform using projections [PDF]

, 1981
Also published as: Journal of the Acoustical Society of America 68 (1980): 523-529In this paper two new algorithms for computing an nth‐order Hankel transform are proposed.
Frisk, George V., Oppenheim, Alan V., Alan V. Oppenheim, Martinez, David R., George V. Frisk, David R. Martinez   +5 more
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Uniform convergence of Hankel transforms [PDF]

Journal of Mathematical Analysis and Applications, 2018
We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms $$\mathcal{L}^α_{ν,μ}f(r) = r^μ\int_0^\infty (rt)^νf(t) j_α(rt)\, dt, \quad α\geq -1/2, \quad r\geq 0, $$ where $ν,μ\in \mathbb{R}$ are such that $0\leq μ+ν\leq α+3/2$.
openaire   +3 more sources

Discrete Tracy--Widom operators. [PDF]

, 2009
Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
core   +2 more sources

A Nonuniform Fast Hankel Transform

SIAM Journal on Scientific Computing
We describe a fast algorithm for computing discrete Hankel transforms of moderate orders from $n$ nonuniform points to $m$ nonuniform frequencies in $O((m+n)\log\min(n,m))$ operations. Our approach combines local and asymptotic Bessel function expansions with nonuniform fast Fourier transforms.
Paul G. Beckman, Michael O'Neil
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Matlab code for the Discrete Hankel Transform

, 2016
Previous definitions of a Discrete Hankel Transform (DHT) have focused on methods to approximate the continuous Hankel integral transform without regard for the properties of the DHT itself.
Natalie Baddour, Ugo Chouinard
core   +1 more source

Identities involving iterated integral transforms

International Journal of Mathematics and Mathematical Sciences, 1983
A number of identities involving iterated integral transforms are established, making use of the fact that a function which is a linear combination of the Macdonald's function Kν(z), where z is a complex variable, is a Fourier kernel.
Cyril Nasim
doaj   +1 more source