DLMF:19.26.E25 (Q6585): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / rank
 
Normal rank
Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / qualifier
 
test:

R C ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}

\CarlsonellintRC@{\NVar{x}}{\NVar{y}}
Property / Symbols used: Carlson’s combination of inverse circular and inverse hyperbolic functions / qualifier
 
xml-id: C19.S2.E17.m2afdec

Revision as of 13:14, 2 January 2020

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DLMF:19.26.E25
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    Statements

    R C ( x , y ) = 2 R C ( x + λ , y + λ ) , Carlson-integral-RC 𝑥 𝑦 2 Carlson-integral-RC 𝑥 𝜆 𝑦 𝜆 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=2R_{C}\left(x+\lambda,y+% \lambda\right),}}
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    λ = y + 2 x y 𝜆 𝑦 2 𝑥 𝑦 {\displaystyle{\displaystyle\lambda=y+2\sqrt{x}\sqrt{y}}}
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    R C ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    C19.S2.E17.m2afdec
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