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inverse Laplace transform

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  • Inverse Laplace transform — Contents 1 Mellin s inverse formula 2 Post s inversion formula 3 See also 4 References 5 Ext …   Wikipedia

  • Laplace transform — In mathematics, the Laplace transform is one of the best known and most widely used integral transforms. It is commonly used to produce an easily soluble algebraic equation from an ordinary differential equation. It has many important… …   Wikipedia

  • Laplace transform — Math. a map of a function, as a signal, defined esp. for positive real values, as time greater than zero, into another domain where the function is represented as a sum of exponentials. Cf. Fourier transform. [1940 45; after P. S. LAPLACE] * * *… …   Universalium

  • Laplace transform applied to differential equations — The use of Laplace transform makes it much easier to solve linear differential equations with given initial conditions.First consider the following relations:: mathcal{L}{f } = s mathcal{L}{f} f(0): mathcal{L}{f } = s^2 mathcal{L}{f} s f(0) f (0) …   Wikipedia

  • Two-sided Laplace transform — In mathematics, the two sided Laplace transform or bilateral Laplace transform is an integral transform closely related to the Fourier transform, the Mellin transform, and the ordinary or one sided Laplace transform. If f ( t ) is a real or… …   Wikipedia

  • Z-transform — In mathematics and signal processing, the Z transform converts a discrete time domain signal, which is a sequence of real or complex numbers, into a complex frequency domain representation. It is like a discrete equivalent of the Laplace… …   Wikipedia

  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

  • Mellin transform — In mathematics, the Mellin transform is an integral transform that may be regarded as the multiplicative version of the two sided Laplace transform. This integral transform is closely connected to the theory of Dirichlet series, and is often used …   Wikipedia

  • Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …   Wikipedia

  • Weierstrass transform — In mathematics, the Weierstrass transform [Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations , Chapter 18. CRC Press, 1996.] of a function f : R rarr; R is the function F defined by:F(x)=frac{1}{sqrt{4piint {… …   Wikipedia

  • Sumudu transform — In mathematics, the Sumudu transform, is an integral transform similar to the Laplace transform, introduced in the early 1990s by Gamage K. Watugala to solve differential equations and control engineering problems.Formal DefinitionThe Sumudu… …   Wikipedia

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