Name
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. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1090/S0025-5718-01-01333-3 | Math. Comput. |
Keywords | Field | DocType |
computer algebra,b. c. carlson,specific reductive algorithm,. carlson elliptic integrals. c2001 american mathematical society,multivariate recurrence relation,elliptic integral,automatic reduction,symmetrical function,symmetric function,recurrence relation | Jacobi elliptic functions,Symmetric function,Elliptic integral,Algebra,Recurrence relation,Mathematical analysis,Quarter period,Symbolic computation,Legendre form,Mathematics,Carlson symmetric form | Journal |
Volume | Issue | ISSN |
71 | 237 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Norman Gray | 1 | 21 | 4.85 |