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- ...|series=Schaum's outlines |year=1995 |isbn=978-0-07-017052-0}}</ref> The [[Laplace transform]] is an [[integral transform]] that takes a function of a positiv {{Main|Laplace transform#Properties and theorems}} ...10 KB (1,425 words) - 16:59, 15 May 2024
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- ...u transforms, the N-transform inherits all the applied aspects of the both transforms. Most recently, F. B. M. Belgacem<ref name="Belgacem3"/> has renamed it the Khan<ref name="Khan"/> showed that the above integral converges to [[Laplace transform]] when ''u'' = 1, and into [[Sumudu transform]] for ''s ...2 KB (278 words) - 07:52, 16 February 2021
- ...athematics, the '''Laplace–Carson transform''', named after [[Pierre Simon Laplace]] and [[John Renshaw Carson]], is an [[integral transform]] with significan ...|function]] and <math>p</math> a [[complex number|complex]] variable. The Laplace–Carson transform is defined as:<ref name="fryba">{{cite book |title=Vibrati ...2 KB (224 words) - 11:32, 7 June 2024
- ...t2=H. E. |date=2010-06-01 |title=On the applications of Laplace and Sumudu transforms |url=https://www.sciencedirect.com/science/article/pii/S0016003210000785 |j == Relationship with other transforms == ...3 KB (442 words) - 07:47, 21 April 2024
- ...|series=Schaum's outlines |year=1995 |isbn=978-0-07-017052-0}}</ref> The [[Laplace transform]] is an [[integral transform]] that takes a function of a positiv {{Main|Laplace transform#Properties and theorems}} ...10 KB (1,425 words) - 16:59, 15 May 2024
- ...eory of [[stochastic process]]es, a '''ν-transform''' is an operation that transforms a [[measure (mathematics)|measure]] or a [[point process]] into a different === Laplace transform === ...3 KB (478 words) - 03:35, 3 November 2019
- **Laplace–Fourier series, see [[Laplace series]] *[[Fourier transform]] ([[List of Fourier-related transforms]]): ...2 KB (293 words) - 12:51, 21 February 2023
- === Laplace transforms === The following result involving [[Laplace transform]]s plays an important role in both physical applications and nume ...7 KB (1,009 words) - 15:55, 22 January 2024
- ...version of [[Fourier transform|Fourier]] and [[Laplace transform|Laplace]] transforms, *approximation of [[Hilbert transforms]], ...3 KB (442 words) - 18:12, 28 September 2024
- ...ok |url=https://www.worldcat.org/oclc/593333940 |title=Fourier and Laplace transforms |date=2003 |publisher=Cambridge University Press |others=R. J. Beerends |is be the (one-sided) [[Laplace transform]] of ''ƒ''(''t''). If <math>f</math> is bounded on <math>(0 ...2 KB (418 words) - 21:27, 30 August 2022
- ...ar |title=Comparative Study of Laplace, Sumudu, Aboodh, Elzaki and Mahgoub Transforms and Applications in Boundary Value Problems |date=2018-12-01 |ssrn=4094218} [[Category:Integral transforms]] ...5 KB (721 words) - 18:46, 13 December 2024
- ...{cite book |last1=Graf |first1=Urs |title=Applied Laplace Transforms and z-Transforms for Scientists and Engineers |date=2004 |publisher=Birkhäuser Verlag |locat Mathematically, if <math>f(t)</math> in continuous time has (unilateral) [[Laplace transform]] <math>F(s)</math>, then a final value theorem establishes condi ...18 KB (2,882 words) - 05:46, 6 January 2025
- ...[[differential operator]] without having to deal directly with [[integral transforms]], which are often subject to technical difficulties with respect to whethe ...uction is identical in behavior to the [[Laplace transform]], and ordinary Laplace-space conversion charts can be used to map expressions involving non-functi ...4 KB (534 words) - 17:02, 20 February 2025
- ...roved in 2011 by [[Herbert Robert Stahl|Herbert Stahl]] concerning Laplace transforms for special matrix functions.<ref>{{cite journal|author=Stahl, Herbert R.|t ...h>t\geq 0</math>. Then <math>\mathbf{f}</math> can be represented as the [[Laplace transform]] of a non-negative [[Borel measure]] <math>\mu</math> on <math>[ ...3 KB (429 words) - 19:23, 23 June 2024
- ...ph of a function <math>f(x)</math> (black) and its generalized Weierstrass transforms for five <math>t</math> parameters. The standard Weierstrass transform <mat ==Transforms of some important functions== ...15 KB (2,523 words) - 14:17, 26 February 2025
- ...en by the [[integral transform]]s, such as the Fourier transform and the [[Laplace transform]]. For an integral transform of the form *Analysis of [[dynamical systems]] using Laplace transformations ...4 KB (644 words) - 02:26, 14 July 2024
- | thesis_title = Some Representation and Inversion Problems for the Laplace Transform ...man's PhD was entitled “Some Representation and Inversion Problems for the Laplace Transform,” He mainly published papers in [[harmonic analysis]] and [[opera ...11 KB (1,475 words) - 19:21, 17 September 2024
- ...n wavelet transforms using the formula for inverse continuous-time wavelet transforms. Poisson wavelet transforms have been applied in multi-resolution analysis, system identification, and ...9 KB (1,399 words) - 06:53, 29 May 2024
- ...urchill |first2=Ruel Vance |date=1953 |title=Hermite and Laguerre integral transforms : preliminary report |url=http://deepblue.lib.umich.edu/handle/2027.42/6521 ...ment of a function of arbitrarily many variables according to higher-order Laplace functions |language=de |issn=0075-4102 |id={{ERAM|066.1720cj}}}}. See p. 17 ...5 KB (851 words) - 15:05, 13 August 2024
- ...and the [[fractional calculus|fractional power]] is defined using Fourier transforms. ...5 KB (748 words) - 23:15, 23 November 2024
- ...ues to hold, and characterizes the elements of Hardy spaces as the Laplace transforms of functions with appropriate integrability properties. Tubes over [[conve The Fourier–Laplace transform of ''ƒ'' is defined by ...7 KB (1,056 words) - 17:51, 7 September 2022