| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4636209 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
Lamé functions play a central role in the theory of ellipsoidal harmonics and have many varied applications in mathematical physics. In this article, a generalized approach to the computation of Lamé function derivatives of arbitrary order is derived and it is demonstrated how these derivatives can be expressed recursively in terms of the original Lamé functions by making use of combinatorial formulae discovered by di Bruno, Girard and Waring.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Andrei Irimia,