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Simple zero
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Analysis
Complex analysis
Holomorphic function
Order of a zero of a holomorphic function
Created
2026-09-24
Updated
2026-10-03
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A
simple zero
has order one, equivalently
f
(
z
0
)
=
0
and
f
′
(
z
0
)
=
0
.
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(7)
Order of a zero of a holomorphic function
Holomorphic function
Complex analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2006
/
iii
/
Paper 10
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2007
/
ib
/
Paper 4
/
4H
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2007
/
iii
/
Paper 11
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 12
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ib
/
Paper 1
/
12G
/
c
/
Solution
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