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
 |
, 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=16130
Watson lemma. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Watson_lemma&oldid=16130