DLMF:5.6.E4 (Q2071): Difference between revisions

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Property / constraint
 

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

0<s<1
Property / constraint: 0 < s < 1 0 𝑠 1 {\displaystyle{\displaystyle 0<s<1}} / rank
 
Normal rank

Revision as of 16:04, 30 December 2019

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DLMF:5.6.E4
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    Statements

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