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Formula:6813

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Digital Library of Mathematical Functions ID 19.2.E21

R C ⁡ ( x , y ) = ∫ 0 1 ( v 2 ⁢ x + ( 1 - v 2 ) ⁢ y ) - 1 / 2 ⁢ d v , Carlson-integral-RC 𝑥 𝑦 superscript subscript 0 1 superscript superscript 𝑣 2 𝑥 1 superscript 𝑣 2 𝑦 1 2 𝑣 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=\int_{0}^{1}(v^{2}x+(1-v^{2% })y)^{-1/2}\mathrm{d}v,}}


Constraint(s)

Symbols List

  • 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
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  •  Edit this on Wikidata

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