title: |
On Properties of Elliptic Jacobi Functions and Applications |
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publication: |
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| volume-issue: | 12 - 2 | |
| pages: | 162 - 169 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2005.12.2.2 (how to use a DOI) | |
author(s): |
A Raouf CHOUIKHA |
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publication date: |
May 2005 |
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abstract: |
In this paper we are interested in developments of the elliptic functions of Jacobi.
In particular a trigonometric expansion of the classical theta functions introduced
by the author (Algebraic methods and q-special functions, C.R.M. Proceedings and
Lectures Notes, A.M.S., vol 22, Providence, 1999, 53-57) permits one to establish a
differential system. This system is derived from the heat equation and is satisfied by
their coefficients. Several applications may be deduced. Other types of expansions for
the Jacobi elliptic functions as well as for the Zeta function are examined. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |