2010
DOI: 10.1007/s11401-010-0598-z
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Error bounds for uniform asymptotic expansions—modified bessel function of purely imaginary order

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 expans… Show more

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Cited by 2 publications
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