Abstract
The integral
is known as the Laplace integral; t, the dummy variable of integration, scans the real numbers between 0 and ∞, and the parameter s may be real-valued or complex-valued. Should this integral converge for some values of s, then it defines a function F(s):
.
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© 1974 Springer-Verlag Berlin Heidelberg
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Doetsch, G. (1974). Introduction of the Laplace Integral from Physical and Mathematical Points of View. In: Introduction to the Theory and Application of the Laplace Transformation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65690-3_1
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DOI: https://doi.org/10.1007/978-3-642-65690-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65692-7
Online ISBN: 978-3-642-65690-3
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