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Formula:7264

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Digital Library of Mathematical Functions ID 19.26.E14

( p - y ) ⁢ R C ⁡ ( x , p ) + ( q - y ) ⁢ R C ⁡ ( x , q ) = ( η - ξ ) ⁢ R C ⁡ ( ξ , η ) , 𝑝 𝑦 Carlson-integral-RC 𝑥 𝑝 𝑞 𝑦 Carlson-integral-RC 𝑥 𝑞 𝜂 𝜉 Carlson-integral-RC 𝜉 𝜂 {\displaystyle{\displaystyle(p-y)R_{C}\left(x,p\right)+(q-y)R_{C}\left(x,q% \right)=(\eta-\xi)R_{C}\left(\xi,\eta\right),}}


Constraint(s)

p , q ∈ ℝ ∖ { 0 } 𝑝 𝑞 0 {\displaystyle{\displaystyle p,q\in\mathbb{R}\setminus\{0\}}}
y ≥ 0 𝑦 0 {\displaystyle{\displaystyle y\geq 0}}
p , q ∈ ℝ ∖ { 0 } 𝑝 𝑞 ℝ 0 {\displaystyle{\displaystyle p,q\in\mathbb{R}\setminus\{0\}}}

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
  • ∈ {\displaystyle{\displaystyle\in}} :
  • ℝ {\displaystyle{\displaystyle\mathbb{R}}} :
  • ∖ {\displaystyle{\displaystyle\setminus}} :
  • x 𝑥 {\displaystyle{\displaystyle x}} : positive
  • y 𝑦 {\displaystyle{\displaystyle y}} : positive
  • ξ 𝜉 {\displaystyle{\displaystyle\xi}} : coordinate
  • η 𝜂 {\displaystyle{\displaystyle\eta}} : coordinate
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 11:30.
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