Further Properties of the Laplace Transform

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


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.


Delta Function Linearity Property Partial Fraction Laplace Transform Power Series Expansion 
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Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUK

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