| Error Bounds for Uniform Asymptotic Expansions—Modified Bessel Function of Purely Imaginary Order |
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| 作者姓名： | Xiaoming WANG |
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| 作者单位： | Wei SHI(Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China);Roderick WONG(Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong) |
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| 摘 要： |
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| 关 键 词： | 渐近展开 误差界 虚函数 塞尔 高阶 积分计算 泰勒展开式 有理函数 |
Examples of Boundary Layers Associated with the
Incompressible Navier-Stokes Equations |
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| Xiaoming WANG.Examples of Boundary Layers Associated with the
Incompressible Navier-Stokes Equations[J].Chinese Annals of Mathematics,Series B,2010,31(5):781-792. |
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| Authors: | Xiaoming WANG |
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| Institution: | 1. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China
2. Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong |
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| Abstract: | 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. |
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| Keywords: | Modified Bessel function of purely imaginary order Airy function Uniform asymptotic expansion Error bound |
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