Results 81 to 90 of about 22,462 (245)

On a non-self adjoint eigenfunction expansion

International Journal of Mathematics and Mathematical Sciences, 1984
This paper develops a formula of inversion for an integral transform similar to that associated with the names of Kontorovich and Lebedev. The kernel involves the Hankel function Hu(1)(kr), in which r varies over a truncated infinite interval a≤r0 and ...
D. Naylor
doaj   +1 more source

Interpolation by Hankel Translates of a Basis Function: Inversion Formulas and Polynomial Bounds

The Scientific World Journal, 2014
For μ≥−1/2, the authors have developed elsewhere a scheme for interpolation by Hankel translates of a basis function Φ in certain spaces of continuous functions Yn (n∈ℕ) depending on a weight w.
Cristian Arteaga, Isabel Marrero
doaj   +1 more source

A distributional Hardy transformation

International Journal of Mathematics and Mathematical Sciences, 1979
The Hardy's F-transform F(t)=∫0∞Fv(ty)yf(y)dy is extended to distributions. The corresponding inversion formula f(x)=∫0∞Cv(tx)tF(t)dt is shown to be valid in the weak distributional sense.
R. S. Pathak, J. N. Pandey
doaj   +1 more source

Calculation of Sommerfeld Integrals in Dipole Radiation Problems

Mathematics
This article proposes asymptotic methods for calculating Sommerfeld integrals, which enable us to calculate the integral using the expansion of a function into an infinite power series at the saddle point, where the role of a rapidly oscillating function
Seil Sautbekov, Merey Sautbekova, Kuralay Baisalova, Mustakhim Pshikov   +3 more
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Stationary temperatures in a hollow cylinder with variable thermic conductivity using a Hankel transform

Revista Técnica de la Facultad de Ingeniería, 2010
In the present work the Hankel generalized finite transform of third class is used to determinate the stationary temperature distribution u(r, z) in a hollow cylinder with variable thermic conductivity.
Alfredo Villalobos
doaj  

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

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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A Note on Asymptotic Evaluation of Some Hankel Transforms [PDF]

, 1985
C. L. Frenzen, R. Wong
openalex   +1 more source

Hankel Multipliers And Transplantation Operators

, 1996
Connections between Hankel transforms of different order for $L^p$-functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch].
Stempak, Krzysztof, Trebels, Walter
core  

On the Range of the Hankel and Extended Hankel Transforms

Journal of Mathematical Analysis and Applications, 1997
The Hankel transform is defined by \[ (H_\nu g)(x)= \int^\infty_0 \sqrt{xy} J_\nu (xy) g(x)dy,\;x>0 \] where \(J_\nu\) is the Bessel function of the first kind and \(\text{Re} \nu >-1\). The author describes here the range of \(H_\nu\) on some function spaces.
openaire   +1 more source