DLMF:13.9.E12 (Q4455)

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DLMF:13.9.E12
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    Statements

    Defining formula
    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}}
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2abdec
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    Q11169
    Defining formula
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4acdec
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    Q11578
    Defining formula
    T ⁢ ( a , b ) 𝑇 𝑎 𝑏 {\displaystyle{\displaystyle T(a,b)}}
    xml-id
    C13.S9.XMD7.m1adec
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