Results 131 to 140 of about 1,148 (183)

Computation of Hankel Transforms

SIAM Review, 1972
This paper deals with the numerical computation of the Hankel transform. Different methods of calculating this transform are presented with computer times and limitations on calculation for each method.
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The Structure of the Algebra of Hankel Transforms and the Algebra of Hankel-Stieltjes Transforms

Canadian Journal of Mathematics, 1971
Let M be the space of all bounded regular complex-valued Borel measures defined on I = [0, ∞). M is a Banach space with ‖μ‖ = ∫d|μ|(x) (μ ∈ M). (Integrals in this paper extend over all of I unless otherwise specified.) Let v be a fixed real number no smaller than and let if z ≠ 0 and , where Jv, is the Bessel function of the first kind of order v and
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Hankel Transforms

Mathematical Proceedings of the Cambridge Philosophical Society, 1924
I have to correct the proof of the assertion on p.
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On the Hankel and Some Related Transformations

Canadian Journal of Mathematics, 1988
The transformations we will discuss in this paper are the Hankel transformation Hυ defined for f ∊ C 0, the collection of continuous functions compactly supported in (0, ∞), by (1.1)
Heywood, P., Rooney, P. G.
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An extension of the finite Hankel transform

Applied Mathematics and Computation, 2004
Integral transforms have been used extensively to solve certain class of initial and boundary value problems. \textit{I. Ali} and the reviewer [J. Aust. Math. Soc., Ser. B 41, 105--117 (1999; Zbl 0982.44003)] introduced a generalized form of the Hankel transform and applied it to the problem of a heavy pollutant from a ground level aerial source within
Nabil T. Eldabe, Moustafa El-Shahed, M. Shawkey   +2 more
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Quasi-discrete Hankel transform

Optics Letters, 1998
A quasi-discrete Hankel transform (QDHT) is presented as a new and efficient framework for numerical evaluation of the zero-order Hankel transform. A discrete form of Parseval's theorem is obtained for the first time to the authors' knowledge, and the transform matrix is discussed.
Yu, L., Huang, M. C., Chen, M. Z., Chen, W. Z., Huang, W. D., Zhu, Z. Z.   +5 more
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ON THE SCHWARTZ'S HANKEL TRANSFORMATION OF DISTRIBUTIONS

Analysis, 1993
Summary: The simultaneous consideration of two integral transformations verifying a mixed Parseval relation suggests a new method of defining the Schwartz's Hankel transformation on certain spaces of generalized functions of slow growth. The results obtained extend prior analysis of the generalized Hankel transformation.
Méndez Pérez, J. M. R., Sánchez Quintana, A. M.   +1 more
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On a generalized finite Hankel transform

Applied Mathematics and Computation, 2007
The authors introduce a new form of finite integral transform involving Bessel functions, which can be considered a generalized Hankel transform. These results are then used to solve heat conduction problems in a finite, semi-infinite and infinite cylinder along with initial and boundary conditions.
Mridula Garg, Alka Rao, Shyam L. Kalla
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Parseval's Theorem for Hankel Transforms

Proceedings of the London Mathematical Society, 1939
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Hankel Transform

2009
Hankel transforms arise naturally in solving boundary-value problems formulated in cylindrical coordinates. They also occur in other applications such as determining the oscillations of a heavy chain suspended from one end, first treated by D. Bernoulli.
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