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| Title Alternative | 鞍点法を用いた∫g(x) e^ith(x)dxの評価式
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| Authors | |
| Abstract | It is known [E or D] that ∫g(x)e^ith(x)dx = √(2π)α/√(t|h''(c)|)g(c)e^ith(c)(1+O(1/t)), where a is the complex number with modulus 1. In this paper we have detailed results including the dependancy of O term. In [G], we apply the Theorem 1 and Theorem 2(below) to estimate the order of ∑e^(2πih(αn logn+βn)).
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| Publisher | 鳥取大学教育学部
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| Content Type |
Departmental Bulletin Paper
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| ISSN | 03715965
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| NCID | AN00174585
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| Journal Title | 鳥取大学教育学部研究報告. 自然科学
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| Current Journal Title |
鳥取大学教育学部研究報告. 自然科学
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| Volume | 47
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| Issue | 2
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| Start Page | 81
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| End Page | 89
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| Published Date | 1998-09-10
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| Text Version |
Publisher
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| Rights | 注があるものを除き、この著作物は日本国著作権法により保護されています。 / This work is protected under Japanese Copyright Law unless otherwise noted.
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| Citation | 鳥取大学教育学部研究報告. 自然科学. 1998, 47(2), 81-89
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| Department |
Faculty of Regional Sciences/Graduate School of Regional Sciences
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| Language |
English
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