Weierstrass σ函数的Taylor系数的级数和整表示
Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function
摘要：
本文给出了复平面$\mathbb{C}=\mathbb{R}^2$上任意格点$Γ$的Weierstrass $σ$ -函数$σ(\cdot;Γ)$的泰勒系数的两种表示形式--第一种表示形式是$Γ$上的Hermite-Gauss级数，第二种表示形式是$\mathbb{C}$上的Hermite-Gauss积分.
英文摘要：
We provide two kinds of representations for the Taylor coefficients of the Weierstrass $σ$-function $σ(\cdot;Γ)$ associated to an arbitrary lattice $Γ$ in the complex plane $\mathbb{C}=\mathbb{R}^2$ - the first one in terms of the so-called Hermite-Gauss series over $Γ$ and the second one in terms of Hermite-Gauss integrals over $\mathbb{C}$.
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。
