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DLMF:4.22.E3
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Formula:1981
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MaRDI QID
Q1981
Label: DLMF:4.22.E3
Digital Library of Mathematical Functions ID
4.22.E3
cot
z
=
1
z
+
2
z
∑
n
=
1
∞
1
z
2
-
n
2
π
2
,
𝑧
1
𝑧
2
𝑧
superscript
subscript
𝑛
1
1
superscript
𝑧
2
superscript
𝑛
2
superscript
𝜋
2
{\displaystyle{\displaystyle\cot z=\frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{z% ^{2}-n^{2}\pi^{2}},}}
Constraint(s)
Symbols List
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
cot
z
𝑧
{\displaystyle{\displaystyle\cot\NVar{z}}}
: cotangent function
n
𝑛
{\displaystyle{\displaystyle n}}
: integer
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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