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Formula:7034

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Digital Library of Mathematical Functions ID 19.16.E20

R F ⁡ ( 0 , y , z ) = 1 2 ⁢ π ⁢ R - 1 2 ⁡ ( 1 2 , 1 2 ; y , z ) , Carlson-integral-RF 0 𝑦 𝑧 1 2 𝜋 Carlson-integral-R 1 2 1 2 1 2 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(0,y,z\right)=\tfrac{1}{2}\pi R_{-\frac% {1}{2}}\left(\tfrac{1}{2},\tfrac{1}{2};y,z\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 F ⁡ ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : symmetric elliptic integral of first kind
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  •  Edit this on Wikidata

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