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Statements
f
(
z
)
=
(
2
π
)
-
3
/
2
2
π
i
∫
c
-
i
∞
c
+
i
∞
ζ
-
s
Γ
(
s
)
Γ
(
s
+
1
2
)
Γ
(
s
+
3
4
)
Γ
(
1
4
-
s
)
d
s
,
Fresnel-auxilliary-function-f
𝑧
superscript
2
𝜋
3
2
2
𝜋
𝑖
superscript
subscript
𝑐
𝑖
𝑐
𝑖
superscript
𝜁
𝑠
Euler-Gamma
𝑠
Euler-Gamma
𝑠
1
2
Euler-Gamma
𝑠
3
4
Euler-Gamma
1
4
𝑠
𝑠
{\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\frac{(2\pi)^{-3/2}}{2\pi
i%
}\int_{c-i\infty}^{c+i\infty}\zeta^{-s}\Gamma\left(s\right)\Gamma\left(s+%
\tfrac{1}{2}\right)\*\Gamma\left(s+\tfrac{3}{4}\right)\Gamma\left(\tfrac{1}{4}%
-s\right)\mathrm{d}s,}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
f
(
z
)
Fresnel-auxilliary-function-f
𝑧
{\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∫
{\displaystyle{\displaystyle\int}}
z
𝑧
{\displaystyle{\displaystyle z}}
ζ
𝜁
{\displaystyle{\displaystyle\zeta}}
c
𝑐
{\displaystyle{\displaystyle c}}
Identifiers
