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DLMF:4.2.E28
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MaRDI QID
Q1567
Label: DLMF:4.2.E28
Digital Library of Mathematical Functions ID
4.2.E28
z
a
=
exp
(
a
ln
z
)
.
superscript
𝑧
𝑎
𝑎
𝑧
{\displaystyle{\displaystyle z^{a}=\exp\left(a\ln z\right).}}
Constraint(s)
Symbols List
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
: exponential function
ln
z
𝑧
{\displaystyle{\displaystyle\ln\NVar{z}}}
: principal branch of logarithm function
a
𝑎
{\displaystyle{\displaystyle a}}
: real or complex constant
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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