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Real integral representation of the modified Bessel function I0
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Mathematics
Area of mathematics
Analysis
Bessel function
Modified Bessel function
Laplace integral method for a differential equation
Created
2026-09-24
Updated
2026-09-24
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The normalized order-
zero function
has the representation
I
0
(
z
)
=
π
1
∫
−
1
1
1
−
s
2
e
zs
d
s
.
(1)
Ancestors
(7)
Laplace integral method for a differential equation
Modified Bessel function
Bessel function
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 82
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
ii
/
Paper 4
/
7E
/
Solution
Periodic Gaussian process with zero period average
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