Results 141 to 150 of about 1,148 (183)

On the Generalized Hankel and K Transformations

Canadian Mathematical Bulletin, 1969
The K transformation (also called the Meijer transformation) has been extended by Zemanian [1; 2] to a class of generalized functions, For , he defined the K transform of f by(1)In [2, Section 6.6] the following inversion theorem for the K transform of f is proven:(2)in the sense of weak convergence in D'(I).
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Uncertainty Inequalities for Hankel Transforms

SIAM Journal on Mathematical Analysis, 1971
In this paper an uncertainty inequality for Hankel transforms is obtained.Let $\nu > 0$ be fixed. We set \[ d\mu _\nu (x) = c_\nu ^{ - 1} x^{2v} dx,\quad c_\nu = 2^{{{\nu - 1} / 2}} \Gamma (\nu + \frac{1}{2}),\] and \[ {\bf J}_\nu (x) = c_\nu x^{ - \nu + {1 / 2}} J_{\nu - {1 / 2}} (x),\] where $J_{\nu - {1 / 2}} (x)$ is a Bessel function of the first ...
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A quadrature formula for the Hankel transform

Numerical Algorithms, 1995
Quadrature formulas for the integral transform to be composed by two Hankel transforms and for the closely related Hankel transform are presented, the error produced by this algorithm for a class of piecewise continuous functions is estimated and some numerical examples are listed.
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Quasi fast Hankel transform

Optics Letters, 1977
We outline here a new algorithm for evaluating Hankel (Fourier–Bessel) transforms numerically with enhanced speed, accuracy, and efficiency. A nonlinear change of variables is used to convert the one-sided Hankel transform integral into a two-sided cross-correlation integral. This correlation integral is then evaluated on a discrete sampled basis using
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Hankel Transform

2023
Sudeshna Banerjea, Birendra Nath Mandal
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On Hankel Transforms

Proceedings of the London Mathematical Society, 1935
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Pseudo-differential operator related to Hankel transform on Gelfand–Shilov spaces of type W

Advances in Operator Theory, 2021
Kanailal Mahato, Mahato Kanailal
exaly  

Fractionalization of Hankel Transforms

IMA Journal of Applied Mathematics, 1980
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A Distributional Hankel Transformation

SIAM Journal on Applied Mathematics, 1966
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On the Range of the Hankel Transformation

Bulletin of the London Mathematical Society, 1979
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