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Fresnel integral C
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Statements
instance of
Fresnel integral
0 references
image
Mplwp FresnelC normalized positive.svg
600 × 400; 36 KB
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named after
Augustin-Jean Fresnel
0 references
defining formula
C
(
z
)
=
∫
0
z
cos
(
π
2
t
2
)
d
t
{\displaystyle \mathrm {C} (z)=\int \limits _{0}^{z}\cos {\left({\frac {\pi }{2}}t^{2}\right)}\mathrm {d} t}
1 reference
stated in
ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause
2-20.8
in defining formula
C
(
z
)
{\displaystyle \mathrm {C} (z)}
symbol represents
Fresnel integral C
0 references
maintained by WikiProject
WikiProject Mathematics
0 references
power series expansion
C
(
x
)
=
∑
n
=
0
∞
(
−
1
)
n
x
4
n
+
1
(
2
n
)
!
(
4
n
+
1
)
{\displaystyle C(x)=\sum _{n=0}^{\infty }(-1)^{n}{\frac {x^{4n+1}}{(2n)!(4n+1)}}}
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