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鞍点法を用いた∫g(x) e^ith(x)dxの評価式
https://repository.lib.tottori-u.ac.jp/records/1225
https://repository.lib.tottori-u.ac.jp/records/1225471247b5-f580-4fde-9343-9d147219fc1f
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2018-06-22 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | 鞍点法を用いた∫g(x) e^ith(x)dxの評価式 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | The estimation of using ∫g(x)eith(x)dx saddle point method | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ | departmental bulletin paper | |||||
著者 |
後藤, 和雄
× 後藤, 和雄 |
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著者所属 | ||||||
Department of Mathematics, Faculty of Education, Tottori University | ||||||
抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 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)). | |||||
書誌情報 |
ja : 鳥取大学教育学部研究報告. 自然科学 en : The Journal of the Faculty of Education, Tottori University. Natural science 巻 47, 号 2, p. 81-89, 発行日 1998-09-10 |
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出版者 | ||||||
出版者 | 鳥取大学教育学部 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 03715965 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00174585 | |||||
権利 | ||||||
権利情報 | 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. | |||||
情報源 | ||||||
関連名称 | 鳥取大学教育学部研究報告. 自然科学. 1998, 47(2), 81-89 | |||||
著者版フラグ | ||||||
出版タイプ | VoR |