Discontinuities in an axisymmetric generalized thermoelastic problem
International Journal of Mathematics and Mathematical Sciences, 2005 This paper deals with discontinuities analysis in the temperature, displacement, and stress fields of a thick plate whose lower and upper surfaces are traction-free and subjected to a given axisymmetric temperature distribution.
Moncef Aouadi
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Pitt's inequalities and uncertainty principle for generalized Fourier transform
, 2015 We study the two-parameter family of unitary operators \[ \mathcal{F}_{k,a}=\exp\Bigl(\frac{i\pi}{2a}\,(2\langle k\rangle+{d}+a-2 )\Bigr) \exp\Bigl(\frac{i\pi}{2a}\,\Delta_{k,a}\Bigr), \] which are called $(k,a)$-generalized Fourier transforms and ...
Gorbachev, Dmitry +2 more
core
Simple closed form Hankel transforms based on the central coefficients of certain Pascal-like triangles [PDF]
, 2006 We study the Hankel transforms of sequences related to the central coefficients of a family of Pascal-like triangles.
Barry, P.
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Forma general de la transformada finita de Hankel General form of the finite Hankel transform
Revista Técnica de la Facultad de Ingeniería, 2008 En este trabajo de investigación se obtiene una forma general de la Transformada Finita de Hankel en el intervalo [a, b], usando la teoría de las transformadas finitas de Sturm-Liouville.
Ovidio Pirela Cristalino +1 more
doaj
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
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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
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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
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Calculation of Sommerfeld Integrals in Dipole Radiation Problems
MathematicsThis 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 +3 more
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A necessary and sufficient condition for the representation of a function as a Hankel-Stieltjes transform [PDF]
, 1970 Frank M. Cholewinski +2 more
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Hankel matrix transforms and operators [PDF]
Journal of Inequalities and Applications, 2012 Hankel operators and Hankel transforms are required in a number of applications. This article proves a number of theorems that efficiently and accurately approximates a function using Hankel transforms and Hankel sum. A characterization of the Hankel matrix sequences and Hankel matrix of semi-periodic and almost periodic sequences are also given.
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