关于雅可比椭圆函数泰勒展开系数的单峰性
On the unimodality of the Taylor expansion coefficients of Jacobian elliptic functions
摘要：
雅可比椭圆函数是椭圆函数的标准式，由C.G.J.Jacobi和N.H.亚伯本文研究了雅可比椭圆函数sn（u，k）和cn（u，k）的泰勒展开系数的单峰性。利用伽玛正性理论，得到了sn（u，k）的泰勒展开系数是对称的单峰展开式，cn（u，k）的泰勒展开系数是单峰的交替递增展开式.
英文摘要：
The Jacobian elliptic functions are standard forms of elliptic functions, and they were independently introduced by C.G.J. Jacobi and N.H. Abel. In this paper, we study the unimodality of Taylor expansion coefficients of the Jacobian elliptic functions sn(u,k) and cn(u,k). By using the theory of gamma-positivity, we obtain that the Taylor expansion coefficients of sn(u,k) are symmetric and unimodal, and that of cn(u,k) are unimodal and alternatingly increasing.
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。
