Hankel transform


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Hankel transform

[′häŋk·əl ‚tranz‚fȯrm]
(mathematics)
The Hankel transform of order m of a real function ƒ(t) is the function F (s) given by the integral from 0 to ∞ of ƒ(t) tJ m (st) dt, where J m denotes the m th-order Bessel function. Also known as Bessel transform; Fourier-Bessel transform.
References in periodicals archive ?
The Hankel transform of an integer sequence and some of its properties were discussed by Layman in [11].
First employing Hankel transform with respect to the variable r, which is denoted by * and then Laplace transform with respect to the variable z, which is denoted by--.
In this paper, we study the properties of the eigenfunctions of the finite Hankel transform.
Shahani and Nabavi [3] solved transiented thermoelasticity problem in an isotropic thick-walled cylinder analytically by using the finite Hankel transform.
1975, "On the Hankel transform of distributions", Tohoku Math.
A closer examination of her proof reveals that, in some way, the weighted non-modified Hankel transform setting is better suited for arguments which she used.
Ehrenborg [1] studied the Hankel determinant of exponential polynomials and the Hankel transform of an integer sequence is defined and some of its properties discussed by Layman [5].
The governing heat conduction equation has been solved by using Hankel transform technique.
Recall that given [beta] [greater than or equal to] [-1/2], the Hankel transform of order [beta] of a suitable function g on (0, [infinity]) is difined by
Abdul had already established the machinery to handle this case; it includes an appropriate form of his modified iterative method and an alising error associated with the Hankel transform.
Ehrenborg t3l studied the Hankel determinant of exponential polynomials and the Hankel transform of an integer sequence is defined and some of its properties discussed by Layman [8].
Dunkl, Hankel transform associated to finite reflexion groups, Contemp.