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Statements
σ
(
z
)
=
2
ω
1
π
exp
(
η
1
z
2
2
ω
1
)
sin
(
π
z
2
ω
1
)
∏
n
=
1
∞
1
-
2
q
2
n
cos
(
π
z
/
ω
1
)
+
q
4
n
(
1
-
q
2
n
)
2
,
Weierstrass-sigma-on-lattice
𝑧
𝕃
2
subscript
𝜔
1
𝜋
subscript
𝜂
1
superscript
𝑧
2
2
subscript
𝜔
1
𝜋
𝑧
2
subscript
𝜔
1
superscript
subscript
product
𝑛
1
1
2
superscript
𝑞
2
𝑛
𝜋
𝑧
subscript
𝜔
1
superscript
𝑞
4
𝑛
superscript
1
superscript
𝑞
2
𝑛
2
{\displaystyle{\displaystyle\sigma\left(z\right)=\frac{2\omega_{1}}{\pi}\exp%
\left(\frac{\eta_{1}z^{2}}{2\omega_{1}}\right)\sin\left(\frac{\pi z}{2\omega_{%
1}}\right)\*\prod_{n=1}^{\infty}\frac{1-2q^{2n}\cos\left(\pi z/\omega_{1}%
\right)+q^{4n}}{(1-q^{2n})^{2}},}}
σ
(
z
)
Weierstrass-sigma-on-lattice
𝑧
𝕃
{\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
𝕃
𝕃
{\displaystyle{\displaystyle\mathbb{L}}}
q
𝑞
{\displaystyle{\displaystyle q}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
ω
1
subscript
𝜔
1
{\displaystyle{\displaystyle\omega_{1}}}
η
j
subscript
𝜂
𝑗
{\displaystyle{\displaystyle\eta_{j}}}
Identifiers
