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Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order
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.
作 者: Wei SHI Roderick WONG 作者單位: 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)
刊 名: 數(shù)學(xué)年刊B輯(英文版) ISTIC SCI 英文刊名: CHINESE ANNALS OF MATHEMATICS,SERIES B 年,卷(期): 2010 31(5) 分類號: O1 關(guān)鍵詞: Modified Bessel function of purely imaginary order Airy function Uniform asymptotic expansion Error bound【Error Bounds for Uniform Asymptotic 】相關(guān)文章: