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DLMF:4.4.E3
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MaRDI QID
Q1580
Label: DLMF:4.4.E3
Digital Library of Mathematical Functions ID
4.4.E3
ln
(
±
i
)
=
±
1
2
π
i
.
plus-or-minus
imaginary-unit
plus-or-minus
1
2
𝜋
imaginary-unit
{\displaystyle{\displaystyle\ln\left(\pm\mathrm{i}\right)=\pm\tfrac{1}{2}\pi% \mathrm{i}.}}
Constraint(s)
Symbols List
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
: imaginary unit
ln
z
𝑧
{\displaystyle{\displaystyle\ln\NVar{z}}}
: principal branch of logarithm function
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