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DLMF:4.2.E20
(Q1559)
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English
DLMF:4.2.E20
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Statements
DLMF defining formula
exp
(
z
+
2
π
i
)
=
exp
z
.
𝑧
2
𝜋
𝑖
𝑧
{\displaystyle{\displaystyle\exp\left(z+2\pi i\right)=\exp z.}}
0 references
Symbols used
the ratio of the circumference of a circle to its diameter
DLMF defining formula
π
{\displaystyle{\displaystyle\pi}}
xml-id
C3.S12.E1.m2addec
0 references
exponential function
DLMF defining formula
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
xml-id
C4.S2.E19.m2aadec
0 references
imaginary unit
DLMF defining formula
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
xml-id
C1.S9.E1.m2addec
0 references
complex variable
DLMF defining formula
z
𝑧
{\displaystyle{\displaystyle z}}
xml-id
C4.S1.XMD8.m1mdec
0 references
instance of
Digital Library of Mathematical Functions Formula
0 references
MaRDI profile type
MaRDI formula profile
0 references
Identifiers
Digital Library of Mathematical Functions ID
4.2.E20
0 references
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Mathematics
(1 entry)
mardi
Formula:1559
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