### Abstract

The zero-distribution of the Fourier integral ∫_{-∞} ^{∞} Q(u)e^{P(u)+izu} du, where P is a polynomial with leading term -u^{2m} (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 |
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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)

### Cite this

*Journal of the Korean Mathematical Society*,

*44*(2), 455-466. https://doi.org/10.4134/JKMS.2007.44.2.455

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*Journal of the Korean Mathematical Society*, vol. 44, no. 2, pp. 455-466. https://doi.org/10.4134/JKMS.2007.44.2.455

**The zero-distribution and the asymptotic behavior of a Fourier integral.** / Ki, Haseo; Kim, Young One.

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

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 -