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Statements
C
(
z
)
+
i
S
(
z
)
=
z
M
(
1
2
,
3
2
,
1
2
π
i
z
2
)
=
z
e
π
i
z
2
/
2
M
(
1
,
3
2
,
-
1
2
π
i
z
2
)
.
Fresnel-cosine-integral
𝑧
𝑖
Fresnel-sine-integral
𝑧
𝑧
Kummer-confluent-hypergeometric-M
1
2
3
2
1
2
𝜋
𝑖
superscript
𝑧
2
𝑧
superscript
𝑒
𝜋
𝑖
superscript
𝑧
2
2
Kummer-confluent-hypergeometric-M
1
3
2
1
2
𝜋
𝑖
superscript
𝑧
2
{\displaystyle{\displaystyle C\left(z\right)+iS\left(z\right)=zM\left(\tfrac{1%
}{2},\tfrac{3}{2},\tfrac{1}{2}\pi iz^{2}\right)=ze^{\pi iz^{2}/2}M\left(1,%
\tfrac{3}{2},-\tfrac{1}{2}\pi iz^{2}\right).}}
C
(
z
)
Fresnel-cosine-integral
𝑧
{\displaystyle{\displaystyle C\left(\NVar{z}\right)}}
S
(
z
)
Fresnel-sine-integral
𝑧
{\displaystyle{\displaystyle S\left(\NVar{z}\right)}}
M
(
a
,
b
,
z
)
Kummer-confluent-hypergeometric-M
𝑎
𝑏
𝑧
{\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
