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Formula:7429

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Digital Library of Mathematical Functions ID 19.36.E9

R F ⁡ ( t 0 2 , t 0 2 + θ ⁢ c 0 2 , t 0 2 + θ ⁢ a 0 2 ) = R F ⁡ ( T 2 , T 2 , T 2 + θ ⁢ M 2 ) = R C ⁡ ( T 2 + θ ⁢ M 2 , T 2 ) . Carlson-integral-RF superscript subscript 𝑡 0 2 superscript subscript 𝑡 0 2 𝜃 superscript subscript 𝑐 0 2 superscript subscript 𝑡 0 2 𝜃 superscript subscript 𝑎 0 2 Carlson-integral-RF superscript 𝑇 2 superscript 𝑇 2 superscript 𝑇 2 𝜃 superscript 𝑀 2 Carlson-integral-RC superscript 𝑇 2 𝜃 superscript 𝑀 2 superscript 𝑇 2 {\displaystyle{\displaystyle R_{F}\left(t_{0}^{2},t_{0}^{2}+\theta c_{0}^{2},t% _{0}^{2}+\theta a_{0}^{2}\right)=R_{F}\left(T^{2},T^{2},T^{2}+\theta M^{2}% \right)=R_{C}\left(T^{2}+\theta M^{2},T^{2}\right).}}


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
  • 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
  • M 𝑀 {\displaystyle{\displaystyle M}} : limit
  • T 𝑇 {\displaystyle{\displaystyle T}} : limit
  •  Edit this on Wikidata

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