Results 1 to 10 of about 2,040,052 (266)
Inversion of the Poisson-Hankel transform [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 The Poisson-Hankel transform is defined as an integral transform of the initial temperature function, with the kernel as the source solution of the generalized heat equation.
C. Nasim
doaj +5 more sources
The Hankel transform of causal distributions
Revista de Matemática: Teoría y Aplicaciones, 2012 In this note we evaluate the unidimensional distributional Hankel transform of \dfrac{x^{\alpha-1}_{+}}{\Gamma^{\alpha}},\dfrac{x^{\alpha-1}_{-}}{\Gamma^{\alpha}},dfrac{|x|^{\alpha-1}}{\Gamma^{\frac{\alpha}{2}}},dfrac{|x|^{\alpha-1}sgn(x)}{\Gamma^{\frac{\
Manuel A. Aguirre T.
doaj +6 more sources
About calculation of the Hankel transform using preliminary wavelet transform [PDF]
Journal of Applied Mathematics, 2003 The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients
E. B. Postnikov
doaj +6 more sources
Bispectrum-window convolution via Hankel transform [PDF]
Journal of Cosmology and Astroparticle Physics, 2022 We present a method to perform the exact convolution of the model prediction for bispectrum multipoles in redshift space with the survey window function.
Kevin Pardede +5 more
openalex +3 more sources
Application of the generalized shift operator to the Hankel transform. [PDF]
Springerplus, 2014 It is well known that the Hankel transform possesses neither a shift-modulation nor a convolution-multiplication rule, both of which have found many uses when used with other integral transforms.
Baddour N.
europepmc +2 more sources
Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In the paper a convolution of the Hankel transform is constructed. The convolution is used to the calculation of an integral containing Bessel functions of the first kind.
Vu Kim Tuan, Megumi Saigo
doaj +2 more sources
Epileptiform Activity and Seizure Risk Follow Long-Term Non-Linear Attractor Dynamics. [PDF]
Adv Sci (Weinh)This study leverages the HAVOK framework to model long‐term, nonlinear attractor dynamics underlying epileptiform activity and seizure risk in epilepsy patients. By identifying key forcing mechanisms driving chaotic transitions, the findings improve seizure risk forecasting over multi‐day cycles and provide a pathway for personalized, data‐driven ...
Rosch RE +4 more
europepmc +3 more sources
A fast analysis-based discrete Hankel transform using asymptotic expansions [PDF]
SIAM Journal on Numerical Analysis, 2015 A fast and numerically stable algorithm is described for computing the discrete Hankel transform of order $0$ as well as evaluating Schl\"{o}milch and Fourier--Bessel expansions in $\mathcal{O}(N(\log N)^2/\log\!\log N)$ operations.
Townsend, Alex
core +2 more sources
Landauʼs necessary density conditions for the Hankel transform [PDF]
, 2011 We will prove an analogue of Landau's necessary conditions [Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math.
Luís Daniel Abreu, Afonso S. Bandeira
openalex +4 more sources
New characterizations for Hankel transformable spaces of Zemanian [PDF]
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
doaj +2 more sources