In mathematics, the Hankel transform expresses any given function f(r) as the weighted sum of an infinite number of Bessel functions of the first kind...

introducing the Hankel transform and the Hankel matrix. Hankel was born on 14 February 1839 in Halle, Germany. His father, Wilhelm Gottlieb Hankel, was a physicist...

In linear algebra, a Hankel matrix (or catalecticant matrix), named after Hermann Hankel, is a rectangular matrix in which each ascending skew-diagonal...

the Hankel transform of it (of any given order α > −⁠1/2⁠), gε(k), approaches Jα(k) as ε approaches zero, for any given k. Conversely, the Hankel transform...

if we define A as the Abel transform operator, F as the Fourier transform operator and H as the zeroth-order Hankel transform operator, then the special...

sine transform Fourier–Deligne transform Fourier–Mukai transform Fractional Fourier transform Indirect Fourier transform Integral transform Hankel transform...

In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration...

Fourier transform Chirplet transform Fractional Fourier transform (FRFT) Hankel transform: related to the Fourier Transform of radial functions. Fourier–Bros–Iagolnitzer...

integral transforms like the Hankel transform and the Laplace transform and their inverses result when suitable G-function pairs are employed as transform kernels...

of transforms in mathematics. Abel transform Aboodh transform Bateman transform Fourier transform Short-time Fourier transform Gabor transform Hankel transform...

are homomorphisms of the kernel of the Hankel transform of a series. In the case where the binomial transform is defined as ∑ i = 0 n ( − 1 ) n − i (...

Fourier transform over an infinite interval, so the Fourier–Bessel series has a counterpart over an infinite interval, namely the Hankel transform. As said...

Laplace transform Fourier transform Fractional Fourier Transform Linear canonical transformation Wavelet transform Hankel transform Joukowsky transform Mellin...

on ω. In this case, we have U(ρ,z) equal to the Fourier–Bessel or Hankel transform of the aperture function, A(ρ) Here are given examples of Fraunhofer...

and applied mathematics, the Hankel, Y, H transforms all may appear in problems having axial symmetry. Hankel transforms are however much more commonly...

transform of f(r). The two-dimensional Fourier transform of f(r) will be a circularly symmetric function given by the zeroth-order Hankel transform of...

proposed signal decomposition method based on eigenvalue decomposition of Hankel matrix (EVDHM) for the first time in literature. He has applied it in various...

Transform". MathWorld. Solution to exercise 5.71 in Concrete Mathematics. Spivey, M. Z. (2006). "The k-binomial transforms and the Hankel transform"...

used in audio crossover systems Bessel transform, also known as Fourier-Bessel transform or Hankel transform Bessel window, in signal processing Besselian...

transforms, such as the Hankel transform, this transform involves integrating over the index of the function rather than its argument. The transform of...

Electron. QE—13, 955—962 (December 1977). A. E. Siegman, "Quasi fast Hankel transform," Opt. Lett. 1, 13-15 (March 1977). A. E. Siegman, "Effects of small-scale...

(2007). "The Zernike-Bessel representation and its application to Hankel transforms". J. Opt. Soc. Am. A. 24 (6): 1609–16. Bibcode:2007JOSAA..24.1609C...

a non-radiating guided-wave mode, can be derived by employing the Hankel transform of a radial ground current associated with a realistic terrestrial...

differentiation Chebyshev approximations Series acceleration Discrete Hankel transform Root finding in one and multiple dimensions Minimization in one and...

the co-aligned laser beams have cylindrical symmetry, therefore the Hankel transform can be used to simplify the computation of the convolution of the equation...

known for the Mollweide projection Hermann Hankel, German mathematician, known for the Hankel transform Felix Hausdorff, German mathematician, one of...

patterns, often involving trigonometric functions or at worst Fourier or Hankel transform relationships between the antenna current distributions and the observed...

use of spatial-domain Green's functions. This involves the inverse Hankel transform of the spectral-domain Green's function, which is defined on the Sommerfeld...

1016/0003-4916(87)90178-3 "On Laguerre polynomials, Bessel functions, Hankel transform and a series in the unitary dual of the simply-connected covering group...

transform expression which is called as Hankel transform. Hence the Hankel transform is used to compute the Fourier transform of the 2-D window functions. If...