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Watson lemma

From Encyclopedia of Mathematics
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A result linking the asymptotic behaviour of a function near with the asymptotic behaviour of its Laplace transform near . Let have the asymptotic expansion

, and let be the Laplace transform of ,

Then has a corresponding asymptotic expansion

.

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