Abstract
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].
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© 2002 Springer-Verlag New York, Inc.
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Davies, B. (2002). The Laplace Transform. In: Integral Transforms and Their Applications. Texts in Applied Mathematics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9283-5_2
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DOI: https://doi.org/10.1007/978-1-4684-9283-5_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2950-1
Online ISBN: 978-1-4684-9283-5
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