Abstract
The zero-distribution of the Fourier integral ∫-∞ ∞ Q(u)eP(u)+izu du, where P is a polynomial with leading term -u2m (m ≥ 1) and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.
| Original language | English |
|---|---|
| Pages (from-to) | 455-466 |
| Number of pages | 12 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 44 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2007 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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The zero-distribution and the asymptotic behavior of a Fourier integral. / Ki, Haseo; Kim, Young One.
In: Journal of the Korean Mathematical Society, Vol. 44, No. 2, 01.01.2007, p. 455-466.Research output: Contribution to journal › Article
TY - JOUR
T1 - The zero-distribution and the asymptotic behavior of a Fourier integral
AU - Ki, Haseo
AU - Kim, Young One
PY - 2007/1/1
Y1 - 2007/1/1
N2 - The zero-distribution of the Fourier integral ∫-∞ ∞ Q(u)eP(u)+izu du, where P is a polynomial with leading term -u2m (m ≥ 1) and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.
AB - The zero-distribution of the Fourier integral ∫-∞ ∞ Q(u)eP(u)+izu du, where P is a polynomial with leading term -u2m (m ≥ 1) and Q an arbitrary polynomial, is described. To this end, an asymptotic formula for the integral is established by applying the saddle point method.
UR - http://www.scopus.com/inward/record.url?scp=33947127396&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33947127396&partnerID=8YFLogxK
U2 - 10.4134/JKMS.2007.44.2.455
DO - 10.4134/JKMS.2007.44.2.455
M3 - Article
AN - SCOPUS:33947127396
VL - 44
SP - 455
EP - 466
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
SN - 0304-9914
IS - 2
ER -