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Formula:2623

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Digital Library of Mathematical Functions ID 5.6.E4

x 1 - s < Γ ⁡ ( x + 1 ) Γ ⁡ ( x + s ) < ( x + 1 ) 1 - s , superscript 𝑥 1 𝑠 Euler-Gamma 𝑥 1 Euler-Gamma 𝑥 𝑠 superscript 𝑥 1 1 𝑠 {\displaystyle{\displaystyle x^{1-s}<\frac{\Gamma\left(x+1\right)}{\Gamma\left% (x+s\right)}<(x+1)^{1-s},}}


Constraint(s)

0 < s < 1 0 𝑠 1 {\displaystyle{\displaystyle 0<s<1}}

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • s 𝑠 {\displaystyle{\displaystyle s}} : real or complex variable
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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