Volume 12, Issue 2, May 2005, Pages 162 - 169
On Properties of Elliptic Jacobi Functions and Applications
Authors
A. Raouf Chouikha
Corresponding Author
A. Raouf Chouikha
Received 1 November 2004, Revised 1 January 2005, Accepted 1 January 2005, Available Online 1 May 2005.
- DOI
- 10.2991/jnmp.2005.12.2.2How to use a DOI?
- 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - A. Raouf Chouikha PY - 2005 DA - 2005/05/01 TI - On Properties of Elliptic Jacobi Functions and Applications JO - Journal of Nonlinear Mathematical Physics SP - 162 EP - 169 VL - 12 IS - 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.2.2 DO - 10.2991/jnmp.2005.12.2.2 ID - Chouikha2005 ER -