DLMF:13.9.E11 (Q4454): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11169 / rank
 
Normal rank
Property / Symbols used: Q11169 / qualifier
 
test:

⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

\floor{\NVar{x}}
Property / Symbols used: Q11169 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r17.m4abdec

Latest revision as of 15:00, 2 January 2020

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DLMF:13.9.E11
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    Statements

    test
    T ⁢ ( a , b ) = ⌊ - a ⌋ + 1 , 𝑇 𝑎 𝑏 𝑎 1 {\displaystyle{\displaystyle T(a,b)=\left\lfloor-a\right\rfloor+1,}}
    0 references
    DLMF id
    DLMF:13.9.E11
    0 references
    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}}
    0 references
    a < 0 𝑎 0 {\displaystyle{\displaystyle a<0}}
    0 references
    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
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
    0 references
    Q11169
    test
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4abdec
    0 references
     
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