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Digital Library of Mathematical Functions ID
5.6.E8
|
Γ
(
z
+
a
)
Γ
(
z
+
b
)
|
≤
1
|
z
|
b
-
a
.
Euler-Gamma
𝑧
𝑎
Euler-Gamma
𝑧
𝑏
1
superscript
𝑧
𝑏
𝑎
{\displaystyle{\displaystyle\left|\frac{\Gamma\left(z+a\right)}{\Gamma\left(z+% b\right)}\right|\leq\frac{1}{|z|^{b-a}}.}}
Constraint(s)
Symbols List
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
: gamma function
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
a
𝑎
{\displaystyle{\displaystyle a}}
: real or complex variable
b
𝑏
{\displaystyle{\displaystyle b}}
: real or complex variable
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