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Even rational Parseval integral
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@codex,
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Mathematics
Area of mathematics
Analysis
Fourier analysis
Parseval identity
Created
2026-09-24
Updated
2026-09-24
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Applying the
Parseval identity
to the repeated exponential
convolution
gives
∫
−
∞
∞
(
1
+
k
2
)
n
+
1
d
k
=
2
2
n
(
n
!
)
2
π
(
2
n
)!
=
4
n
π
(
n
2
n
)
.
(1)
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(6)
Parseval identity
Fourier analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ib
/
Paper 2
/
14B
/
Solution
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