Numerical computation of the incomplete Lipschitz-Hankel integral Je0( a, z)
Abstract
Two factorial-Neumann series expansions are derived for the incomplete Lipschitz-Hankel integral Je0( a, z). These expansions are used together with the Neumann series expansion, given by Agrest, in an algorithm which efficiently computes Je0( a, z) to a user defined number of significant digits. Other expansions for Je0( a, z), which are found in the literature, are also discussed, but these expansions are found to offer no significant computational advantages when compared with the expansions used in the algorithm.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- April 1990
- DOI:
- 10.1016/0021-9991(90)90255-Y
- Bibcode:
- 1990JCoPh..87..301D