DLMF:19.26.E13 (Q6567): Difference between revisions

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Property / constraint
 

σ = ( α β + θ ) / ( α + β ) 𝜎 𝛼 𝛽 𝜃 𝛼 𝛽 {\displaystyle{\displaystyle\sigma=(\alpha\beta+\theta)/(\alpha+\beta)}}

\sigma=(\alpha\beta+\theta)/(\alpha+\beta)
Property / constraint: σ = ( α β + θ ) / ( α + β ) 𝜎 𝛼 𝛽 𝜃 𝛼 𝛽 {\displaystyle{\displaystyle\sigma=(\alpha\beta+\theta)/(\alpha+\beta)}} / rank
 
Normal rank

Revision as of 17:08, 30 December 2019

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DLMF:19.26.E13
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    Statements

    R C ( α 2 , α 2 - θ ) + R C ( β 2 , β 2 - θ ) = R C ( σ 2 , σ 2 - θ ) , Carlson-integral-RC superscript 𝛼 2 superscript 𝛼 2 𝜃 Carlson-integral-RC superscript 𝛽 2 superscript 𝛽 2 𝜃 Carlson-integral-RC superscript 𝜎 2 superscript 𝜎 2 𝜃 {\displaystyle{\displaystyle R_{C}\left(\alpha^{2},\alpha^{2}-\theta\right)+R_% {C}\left(\beta^{2},\beta^{2}-\theta\right)=R_{C}\left(\sigma^{2},\sigma^{2}-% \theta\right),}}
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    σ = ( α β + θ ) / ( α + β ) 𝜎 𝛼 𝛽 𝜃 𝛼 𝛽 {\displaystyle{\displaystyle\sigma=(\alpha\beta+\theta)/(\alpha+\beta)}}
    0 references