Results 71 to 80 of about 734,785 (209)

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

Effect of natural heat convection on fractional MHD second-grade fluid in an infinite vertically oscillating cylinder with Hankel transform. [PDF]

Heliyon, 2023
Uddin S, Mehmood OU, Mohamad M, Roslan R, Khan I, Mohamed A.   +5 more
europepmc   +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

Polynomial-exponential 2D data models, Hankel-block-Hankel matrices and zero-dimensional ideals

, 2011
Subspace-based methods are popular for analysis of two-dimensional data that can be modeled by sums of polynomially modulated exponential (or “polynomial-exponential”) functions.
Usevich, Konstantin
core   +1 more source

Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation [PDF]

, 2001
We derive new projection formulas for the model reduction method based on the frequency-weighted Hankel norm approximation (FWHNA). These formulas extend the applicability of the FWHNA method to frequency weights expressed as antistable right/left ...
Varga, Andras
core  

The Discrete Hankel Transform

, 2015
Code for the calculation of the Discrete Hankel Transform.  This is the code that accompanies the publication [1] N. Baddour and U. Chouinard, “Theory and operational rules for the discrete Hankel transform,” J. Opt. Soc. Am. A, vol. 32, no. 4, pp.
Ugo Chouinard (756717), Natalie Baddour (554211)   +1 more
core   +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
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

Titchmarsh's theorem of Hankel transform [PDF]

, 2019
Hankel transform (or Fourier-Bessel transform) is a fundamental tool in many areas of mathematics and engineering, including analysis, partial di erential equations, probability, analytic number theory, data analysis, etc.
Boudref, Mohamed-Ahmed
core  

An efficient discrete Hankel transform based on convolutional Gaussian fast Fourier transform

Earth, Planets and Space
The numerical evaluation of Hankel transforms is fundamental to electromagnetic (EM) geophysics. Typically, this problem is addressed via two distinct paradigms: the digital linear filter (DLF) method, prioritized for its computational speed, and direct ...
Guanzheng Tian, Yuguo Li
doaj   +1 more source