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Formula:7032

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Digital Library of Mathematical Functions ID 19.16.E18

R C ⁡ ( x , y ) = R - 1 2 ⁡ ( 1 2 , 1 ; x , y ) . Carlson-integral-RC 𝑥 𝑦 Carlson-integral-R 1 2 1 2 1 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=R_{-\frac{1}{2}}\left(% \tfrac{1}{2},1;x,y\right).}}


Constraint(s)

Symbols List

  • R - a ⁡ ( b 1 , … , b n ; z 1 , … , z n ) Carlson-integral-R 𝑎 subscript 𝑏 1 … subscript 𝑏 𝑛 subscript 𝑧 1 … subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}} : multivariate hypergeometric function
  • R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}} : Carlson’s combination of inverse circular and inverse hyperbolic functions
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