Jacobi椭圆函数及其应用
On the Jacobi Elliptic functions and Applications
摘要：
在本文中，我们感兴趣的发展椭圆函数的雅可比。特别是作者介绍的经典theta函数的三角展开式（Algesthetics methods and q-special functions，Editors：C.R.M.会议记录和讲座笔记，上午，vol 22，Providence，1999，53-57）允许建立差分系统。这个系统是从热方程导出的，并满足它们的系数。可以推断出几种应用。其他类型的扩展的Jacobi椭圆函数以及Zeta函数进行检查。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
