Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order
文献类型：期刊论文
| 作者 | Shi, Wei1; Wong, Roderick2 |
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2010-09-01 |
| 卷号 | 31期号:5页码:759-780 |
| 关键词 | Modified Bessel function of purely imaginary order Airy function Uniform asymptotic expansion Error bound |
| 产权排序 | 第一 |
| 英文摘要 | The authors modify a method of Olde Daalhuis and Temme for representing the remainder and coefficients in Airy-type expansions of integrals. By using a class of rational functions, they express these quantities in terms of Cauchy-type integrals; these expressions are natural generalizations of integral representations of the coefficients and the remainders in the Taylor expansions of analytic functions. By using the new representation, a computable error bound for the remainder in the uniform asymptotic expansion of the modified Bessel function of purely imaginary order is derived. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 非线性偏微分方程 |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | THIRD KIND ; INTEGRALS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000282472500011 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2024]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shi, Wei,Wong, Roderick. Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2010,31(5):759-780. |
| APA | Shi, Wei,&Wong, Roderick.(2010).Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order.CHINESE ANNALS OF MATHEMATICS SERIES B,31(5),759-780. |
| MLA | Shi, Wei,et al."Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order".CHINESE ANNALS OF MATHEMATICS SERIES B 31.5(2010):759-780. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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