DLMF:19.26.E16 (Q6573): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11880 / rank
 
Normal rank
Property / Symbols used: Q11880 / qualifier
 
Defining formula:

μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}

\mu>0
Property / Symbols used: Q11880 / qualifier
 
xml-id: C19.S26.XMD5.m1kdec

Latest revision as of 14:13, 2 January 2020

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DLMF:19.26.E16
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    Statements

    R F ( λ , y + λ , z + λ ) = R F ( 0 , y , z ) - R F ( μ , y + μ , z + μ ) , Carlson-integral-RF 𝜆 𝑦 𝜆 𝑧 𝜆 Carlson-integral-RF 0 𝑦 𝑧 Carlson-integral-RF 𝜇 𝑦 𝜇 𝑧 𝜇 {\displaystyle{\displaystyle R_{F}\left(\lambda,y+\lambda,z+\lambda\right)={R_% {F}\left(0,y,z\right)-R_{F}\left(\mu,y+\mu,z+\mu\right),}}}
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    DLMF:19.26.E16
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    λ μ = y z 𝜆 𝜇 𝑦 𝑧 {\displaystyle{\displaystyle\lambda\mu=yz}}
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    R F ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    C19.S16.E1.m2abdec
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    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    C19.S26.XMD1.m1kdec
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    y 𝑦 {\displaystyle{\displaystyle y}}
    C19.S26.XMD3.m1mdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C19.S26.XMD4.m1jdec
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    μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}
    C19.S26.XMD5.m1kdec
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