Watson lemma
From Encyclopedia of Mathematics
A result linking the asymptotic behaviour of a function near with the asymptotic behaviour of its Laplace transform near
. Let
have the asymptotic expansion
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, and let
be the Laplace transform of
,
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Then has a corresponding asymptotic expansion
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.
References
[a1] | B. Davies, "Integral transforms and their applications" , Springer (1978) pp. §1.3 |
How to Cite This Entry:
Watson lemma. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Watson_lemma&oldid=49173
Watson lemma. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Watson_lemma&oldid=49173