DLMF:13.9.E12 (Q4455): Difference between revisions

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Property / constraint
 

Γ ⁢ ( a ) ⁢ Γ ⁢ ( a - b + 1 ) < 0 Γ 𝑎 Γ 𝑎 𝑏 1 0 {\displaystyle{\displaystyle\Gamma\left(a\right)\Gamma\left(a-b+1\right)<0}}

\Gamma\left(a\right)\Gamma\left(a-b+1\right)<0
Property / constraint: Γ ⁢ ( a ) ⁢ Γ ⁢ ( a - b + 1 ) < 0 Γ 𝑎 Γ 𝑎 𝑏 1 0 {\displaystyle{\displaystyle\Gamma\left(a\right)\Gamma\left(a-b+1\right)<0}} / rank
 
Normal rank

Revision as of 16:46, 30 December 2019

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DLMF:13.9.E12
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    Statements

    test
    T ⁢ ( a , b ) = ⌊ - a ⌋ , 𝑇 𝑎 𝑏 𝑎 {\displaystyle{\displaystyle T(a,b)=\left\lfloor-a\right\rfloor,}}
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    DLMF id
    DLMF:13.9.E12
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    constraint
    Γ ⁡ ( a ) ⁢ Γ ⁡ ( a - b + 1 ) < 0 Euler-Gamma 𝑎 Euler-Gamma 𝑎 𝑏 1 0 {\displaystyle{\displaystyle\Gamma\left(a\right)\Gamma\left(a-b+1\right)<0}}
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    a < 0 𝑎 0 {\displaystyle{\displaystyle a<0}}
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    Γ ⁢ ( a ) ⁢ Γ ⁢ ( a - b + 1 ) < 0 Γ 𝑎 Γ 𝑎 𝑏 1 0 {\displaystyle{\displaystyle\Gamma\left(a\right)\Gamma\left(a-b+1\right)<0}}
    0 references
     
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