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

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / constraint
 

a < 0 𝑎 0 {\displaystyle{\displaystyle a<0}}

a<0
Property / constraint: a < 0 𝑎 0 {\displaystyle{\displaystyle a<0}} / rank
 
Normal rank
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
Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
Defining formula:

Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11169 / rank
 
Normal rank
Property / Symbols used: Q11169 / qualifier
 
Defining formula:

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
Property / Symbols used
 
Property / Symbols used: Q11578 / rank
 
Normal rank
Property / Symbols used: Q11578 / qualifier
 
Defining formula:

T ( a , b ) 𝑇 𝑎 𝑏 {\displaystyle{\displaystyle T(a,b)}}

T(a,b)
Property / Symbols used: Q11578 / qualifier
 
xml-id: C13.S9.XMD7.m1dec

Latest revision as of 16:00, 2 January 2020

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DLMF:13.9.E11
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    Statements

    T ( a , b ) = - a + 1 , 𝑇 𝑎 𝑏 𝑎 1 {\displaystyle{\displaystyle T(a,b)=\left\lfloor-a\right\rfloor+1,}}
    0 references
    DLMF:13.9.E11
    0 references
    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
    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aadec
    0 references
    x 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    introduction.Sx4.p1.t1.r17.m4abdec
    0 references
    T ( a , b ) 𝑇 𝑎 𝑏 {\displaystyle{\displaystyle T(a,b)}}
    C13.S9.XMD7.m1dec
    0 references