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Fractional Laplace transform

Signal, Image and Video Processing, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Covariant Laplace Transforms

Acta Applicandae Mathematica, 1997
The author shows effective applications of the one-dimensional and the two-dimensional Laplace transforms to the solution of the wave equation and provides a study of homogeneous and nonhomogeneous waves. The behavior of these waves and their Laplace transforms under the Lorenz group are discussed.
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On the Zeros of Laplace Transforms

Mathematical Notes, 2004
The starting point is Polya's theorem about the location of zeros of \[ F(z)=\int^1_0e^{zt}f(t)dt \] in the left half plane \(Re(z)\leq 0\), provided \(f\) is integrable, positive, and non-decreasing in \((0,1)\). First, the additional condition that \(f\) be logarithmically convex in a neighborhood of 1 is imposed and the form of the curvilinear half ...
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The Representation of Functions as Laplace and Laplace–Stieltjes Transforms

SIAM Journal on Mathematical Analysis, 1986
A necessary and sufficient condition for a function to be represented as a Laplace or Laplace-Stieltjes transform are discussed by considering the behaviour of the function on a single vertical line in the form of six theorems. The author also discusses conditions which must be satisfied by the various kernels for them to be used in the theorems. Three
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Laplace Transform

2014
The Laplace transform is an integral transform widely used in applied mathematics for the determination of the solution of differential equations, difference equations, and functional equations. The idea is to use an integral to transform a differential equation into an algebraic equation, and after solving this algebraic equation, we get the desired ...
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The Laplace Transform

Nature, 1957
Handbuch der Laplace-Transformation Von Prof. Gustav Doetsch. Band 2: Anwendungen der Laplace-Transformation. 1 Abteilung. (Lehrbucher und Monographien aus dem Gebiete der Exakten Wissenschaften. Mathematische Reihe, Band 15.) Pp. 436. (Basel und Stuttgart: Birkhauser Verlag, 1955.) 56.15 Swiss francs; 56.15 D. marks.
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The Laplace Transform

2001
As a discipline, mathematics encompasses a vast range of subjects. In pure mathematics an important concept is the idea of an axiomatic system whereby axioms are proposed and theorems are proved by invoking these axioms logically.
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The Laplace transform

2019
Luis F. Chaparro, Aydin Akan
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On Generalized Laplace Transformations

The Annals of Mathematics, 1947
Bers, Lipman, Gelbart, Abe
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Laplace Transform Methods

2016
Martha L. Abell, James P. Braselton
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