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 Mar |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Cite this
Ki, H., & Kim, Y. O. (2007). The zero-distribution and the asymptotic behavior of a Fourier integral. Journal of the Korean Mathematical Society, 44(2), 455-466. https://doi.org/10.4134/JKMS.2007.44.2.455