The zero-distribution and the asymptotic behavior of a Fourier integral

Haseo Ki, Young One Kim

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1 Citation (Scopus)

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 languageEnglish
Pages (from-to)455-466
Number of pages12
JournalJournal of the Korean Mathematical Society
Volume44
Issue number2
DOIs
Publication statusPublished - 2007 Mar

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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