Error Bounds for Asymptotic Expansions of Hankel Transforms
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 799-808 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 7 |
| Issue number | 6 |
| Publication status | Published - Nov 1976 |
| Externally published | Yes |
Link(s)
| DOI | DOI |
|---|---|
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(19aab147-59f6-4472-b51a-06d03c55ce9f).html |
Abstract
An explicit expression is derived for the error term associated with the asymptotic expansions of the Hankel transform \[ I(x)\int_0^\infty {J_\nu (xt)q(t)dt} ,\] where $J_\nu (t)$ is the Bessel function of the first kind and x is a large positive parameter. From the explicit expression, realistic error bounds are also obtained.
Citation Format(s)
Error Bounds for Asymptotic Expansions of Hankel Transforms. / Wong, R.
In: SIAM Journal on Mathematical Analysis, Vol. 7, No. 6, 11.1976, p. 799-808.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
