DLMF:19.6.E8 (Q6158): 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.m2adec

Revision as of 12:40, 2 January 2020

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DLMF:19.6.E8
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    Statements

    F ( ϕ , 1 ) = ( sin ϕ ) R C ( 1 , cos 2 ϕ ) = gd - 1 ( ϕ ) . elliptic-integral-first-kind-F italic-ϕ 1 italic-ϕ Carlson-integral-RC 1 2 italic-ϕ inverse-Gudermannian italic-ϕ {\displaystyle{\displaystyle F\left(\phi,1\right)=(\sin\phi)R_{C}\left(1,{\cos% ^{2}}\phi\right)={\operatorname{gd}^{-1}}\left(\phi\right).}}
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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.m2adec
    0 references