The Laplace Transform

  • Brian Davies
Part of the Texts in Applied Mathematics book series (TAM, volume 41)


In this chapter, we give the definition of the Laplace transform and derive some of its more important properties, including a result on its asymptotic behavior known as Watson’s lemma. The results given in this chapter may be found in many places. Some classic books are Ditkin and Prudnikov [20], Doetsch [22], and Widder [73]. More recent references include Bellman and Roth [10], Guest [28], Schiff [52], and Watson [69].


Asymptotic Expansion Asymptotic Property Laplace Transform Classic Book Definite Integral 
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Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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