The following is a list of Laplace transforms for many common functions of a single variable.[1] The Laplace transform is an integral transform that takes a function of a positive real variable t (often time) to a function of a complex variable s (complex angular frequency).
^Distefano, J. J.; Stubberud, A. R.; Williams, I. J. (1995), Feedback systems and control, Schaum's outlines (2nd ed.), McGraw-Hill, p. 78, ISBN 978-0-07-017052-0
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mathematics, the Laplacetransform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...
Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplacetransform. This integral transform is...
wavelet transforms and chirplet transforms, with the wavelet analog of the (continuous) Fourier transform being the continuous wavelet transform. Linear...
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...
series are an example of an orthonormal basis. As an example of an application of integral transforms, consider the Laplacetransform. This is a technique...
function Distribution Oscillatory integral Laplacetransform Discrete Hartley transformListoftransforms Dirichlet kernel Fejér kernel Convolution theorem...
"Heaviside, Laplace, and the Inversion Integral". University of Denver. Davies, Brian (2002). "Heaviside step function". Integral Transforms and their Applications...
Fourier series Laplace–Fourier series, see Laplace series Fourier–Legendre series Fourier transform (Listof Fourier-related transforms): Discrete-time...
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harmonics originate from solving Laplace's equation in the spherical domains. Functions that are solutions to Laplace's equation are called harmonics. Despite...
both of which satisfy Poisson's equation—or in the vacuum, Laplace's equation. There is considerable overlap between potential theory and the theory of Poisson's...
f(t)} and g ( t ) {\displaystyle g(t)} with bilateral Laplacetransforms (two-sided Laplacetransform) F ( s ) = ∫ − ∞ ∞ e − s u f ( u ) d u {\displaystyle...
improper definite integral can be determined in several ways: the Laplacetransform, double integration, differentiating under the integral sign, contour...
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