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Error bounds for uniform asymptotic expansions—modified bessel function of purely imaginary order
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wong, Roderick |
| Copyright Year | 2010 |
| 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. |
| Starting Page | 759 |
| Ending Page | 780 |
| Page Count | 22 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11401-010-0598-z |
| Alternate Webpage(s) | http://www.camath.fudan.edu.cn/cambcn/ch/reader/create_pdf.aspx?file_no=31B510&flag=1 |
| Alternate Webpage(s) | https://doi.org/10.1007/s11401-010-0598-z |
| Volume Number | 31 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
