On the Jacobi Elliptic functions and Applications
数学物理
2007-05-23 v1 偏微分方程分析
math.MP
摘要
In this paper we are interested in developments of elliptic functions of Jacobi. In particular a trigonometric expansion of the classical theta functions introduced by the author (Algebraic methods and q-special functions, Editors: C.R.M. Proceedings and Lectures Notes, A.M.S., vol 22, Providence, 1999, 53-57) permits one 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.
引用
@article{arxiv.math-ph/0502023,
title = {On the Jacobi Elliptic functions and Applications},
author = {A. Raouf Chouikha},
journal= {arXiv preprint arXiv:math-ph/0502023},
year = {2007}
}
备注
To appear in J. of Nonlin. Math. Phys. vol 12, 8 pages