Gray, N. (2001) Automatic reduction of elliptic integrals using Carlson's relations. Mathematics of Computation, 71(237), pp. 311-319. (doi: 10.1090/S0025-5718-01-01333-3)
|
Text
90295-1.pdf - Accepted Version 172kB |
Abstract
In a series of papers, B. C. Carlson produced tables of elliptic integrals, evaluating them in terms of easily computed symmetrical functions, using a group of multivariate recurrence relations. These relations are, however, cumbersome to use by hand and, in the absence of a specific reductive algorithm, difficult to use with computer algebra. This paper presents such an algorithm, guaranteed to reduce a general elliptic integral to a set of fundamental ones.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Gray, Dr Norman |
| Authors: | Gray, N. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Mathematics of Computation |
| Publisher: | American Mathematical Society |
| ISSN: | 0025-5718 |
| ISSN (Online): | 1088-6842 |
| Copyright Holders: | Copyright © 2001 American Mathematical Society |
| First Published: | First published in Mathematics of Computation 71(237):311-319 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details