DLMF:19.25.E30 (Q6538): 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
 
Defining formula:

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.m2aadec

Revision as of 14:08, 2 January 2020

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DLMF:19.25.E30
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    Statements

    am ( u , k ) = R C ( cs 2 ( u , k ) , ns 2 ( u , k ) ) , Jacobi-elliptic-amplitude 𝑢 𝑘 Carlson-integral-RC Jacobi-elliptic-cs 2 𝑢 𝑘 Jacobi-elliptic-ns 2 𝑢 𝑘 {\displaystyle{\displaystyle\operatorname{am}\left(u,k\right)=R_{C}\left({% \operatorname{cs}^{2}}\left(u,k\right),{\operatorname{ns}^{2}}\left(u,k\right)% \right),}}
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    DLMF:19.25.E30
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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.m2aadec
    0 references