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1701
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Digital Library of Mathematical Functions ID
4.9.E2
ln
(
1
+
z
1
-
z
)
=
2
z
1
-
z
2
3
-
4
z
2
5
-
9
z
2
7
-
16
z
2
9
-
⋯
,
1
𝑧
1
𝑧
continued-fraction
2
𝑧
1
continued-fraction
superscript
𝑧
2
3
continued-fraction
4
superscript
𝑧
2
5
continued-fraction
9
superscript
𝑧
2
7
continued-fraction
16
superscript
𝑧
2
limit-from
9
⋯
{\displaystyle{\displaystyle\ln\left(\frac{1+z}{1-z}\right)=\cfrac{2z}{1-% \cfrac{z^{2}}{3-\cfrac{4z^{2}}{5-\cfrac{9z^{2}}{7-\cfrac{16z^{2}}{9-}}}}}% \cdots,}}
Constraint(s)
Symbols List
ln
z
𝑧
{\displaystyle{\displaystyle\ln\NVar{z}}}
: principal branch of logarithm function
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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