Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 759-780 |
| Journal / Publication | Chinese Annals of Mathematics. Series B |
| Volume | 31 |
| Issue number | 5 |
| Publication status | Published - 2010 |
Link(s)
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. © 2010 Editorial Office of CAM (Fudan University) and Springer Berlin Heidelberg.
Research Area(s)
- Airy function, Modified Bessel function of purely imaginary order, Uniform asymptotic expansion, Error bound
Citation Format(s)
Error Bounds for Uniform Asymptotic Expansions-Modified Bessel Function of Purely Imaginary Order. / Shi, Wei; Wong, Roderick.
In: Chinese Annals of Mathematics. Series B, Vol. 31, No. 5, 2010, p. 759-780.
In: Chinese Annals of Mathematics. Series B, Vol. 31, No. 5, 2010, p. 759-780.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
