TY - JOUR
T1 - The zero-distribution and the asymptotic behavior of a Fourier integral
AU - Ki, Haseo
AU - Kim, Young One
PY - 2007/3
Y1 - 2007/3
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.
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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 -