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Digital Library of Mathematical Functions ID
9.7.E3
χ
(
x
)
≡
π
1
/
2
Γ
(
1
2
x
+
1
)
/
Γ
(
1
2
x
+
1
2
)
.
equal-by definition
𝜒
𝑥
1
2
Euler-Gamma
1
2
𝑥
1
Euler-Gamma
1
2
𝑥
1
2
{\displaystyle{\displaystyle\chi(x)\equiv{\pi^{\ifrac{1}{2}}}\Gamma\left(% \tfrac{1}{2}x+1\right)/\Gamma\left(\tfrac{1}{2}x+\tfrac{1}{2}\right).}}
Constraint(s)
Symbols List
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
: gamma function
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
≡
equal-by definition
{\displaystyle{\displaystyle\equiv}}
:
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