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Further Properties of the Laplace Transform

  • Phil DykeEmail author
Chapter
  • 8.5k Downloads
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

Sometimes, a function \(F(t)\) represents a natural or engineering process that has no obvious starting value. Statisticians call this a time series. Although we shall not be considering \(F(t)\) as stochastic, it is nevertheless worth introducing a way of “switching on" a function. Let us start by finding the Laplace transform of a step function the name of which pays homage to the pioneering electrical engineer Oliver Heaviside (1850–1925). The formal definition runs as follows.

Keywords

Delta Function Linearity Property Partial Fraction Laplace Transform Power Series Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUK

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