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The Discrete Hankel Transform [PDF]
Fourier Transforms - Century of Digitalization and Increasing Expectations, 2019 The Hankel transform is an integral transform and is also known as the Fourier-Bessel transform. Until recently, there was no established discrete version of the transform that observed the same sort of relationship to its continuous counterpart as the ...
Natalie Baddour
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Fractal and FractionalThis paper explores the extension of classical transforms to fractal spaces, focusing on the development and application of the Fractal Hankel Transform. We begin with a concise review of fractal calculus to set the theoretical groundwork.
Alireza Khalili Golmankhaneh +3 more
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On dual transform of fractional Hankel transform [PDF]
Complex Variables and Elliptic Equations, 2020 We deal with a class of one-parameter family of integral transforms of Bargmann type arising as dual transform of fractional Hankel transform. Their ranges are identified to be special subspaces of the weighted hyperholomorphic left Hilbert spaces ...
A. Ghanmi
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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}^\alpha_{\nu,\mu}f(r) = r^\mu\int_0^\infty (rt)^\nu f(t) j_\alpha(rt)\, dt, \quad \alpha\geq -1/2, \quad r\geq ...
Debernardi, A.
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Identities for the Hankel transform and their applications [PDF]
Journal of Mathematical Analysis and Applications, 2008 In the present paper the authors show that iterations of the Hankel transform with $\mathscr{K}_{\nu}$-transform is a constant multiple of the Widder transform.
Dernek, Ahmet +2 more
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A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups [PDF]
, 2014 A q-analogue of Erdelyi's formula for the Hankel transform of the product of Laguerre polynomials is derived using the quantum linking groupoid between the quantum SU(2) and E(2) groups.
De Commer, Kenny, Koelink, Erik
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Matlab Code for the Discrete Hankel Transform
Journal of Open Research Software, 2017 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
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Matlab code for the Discrete Hankel Transform
PeerJ Preprints, 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.
Ugo Chouinard, Natalie Baddour
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Proceedings of the American Mathematical Society, 1990 In this paper, using some results of the author on Hankel transform in the Schwartz and Gel’fand-Shilov spaces, we characterize the integral operators of Hankel type which are isomorphisms between the spaces H μ {H_\mu } of Zemanian.
Antonio J. Durán
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On the Hankel transform of distributions [PDF]
Tohoku Mathematical Journal, 1975 L. S. Dube, J. N. Pandey
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