Accession Number:

AD0770759

Title:

The Asymptotic Expansions of Hankel Transforms and Related Integrals,

Descriptive Note:

Corporate Author:

DEFENCE RESEARCH ESTABLISHMENT PACIFIC VICTORIA (BRITISH COLUMBIA)

Personal Author(s):

Report Date:

1971-07-01

Pagination or Media Count:

14.0

Abstract:

In this paper, the asymptotic expansion of integrals of the form the integral from zero to infinity of Fkrfk dk is considered, as r trends to infinity, and where Fkr are Bessel functions of the first and second kind, or functions closely related to these. Asymptotic expansions for several functions of this type are presented under suitable restrictions on fk. The expansion given by Willis for Hankel transforms is seen to be valid under conditions of fk less restrictive than those imposed by that author. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE