# Error Bounds for Asymptotic Expansions of Hankel Transforms

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

• R. Wong

## Detail(s)

Original language English 799-808 SIAM Journal on Mathematical Analysis 7 6 Published - Nov 1976 Yes

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.