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Formula:7347

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Digital Library of Mathematical Functions ID 19.29.E23

∫ y ∞ d t ( t 2 + a 2 ) ⁒ ( t 2 - b 2 ) = R F ⁑ ( y 2 + a 2 , y 2 - b 2 , y 2 ) . superscript subscript 𝑦 𝑑 superscript 𝑑 2 superscript π‘Ž 2 superscript 𝑑 2 superscript 𝑏 2 Carlson-integral-RF superscript 𝑦 2 superscript π‘Ž 2 superscript 𝑦 2 superscript 𝑏 2 superscript 𝑦 2 {\displaystyle{\displaystyle\int_{y}^{\infty}\frac{\mathrm{d}t}{\sqrt{(t^{2}+a% ^{2})(t^{2}-b^{2})}}=R_{F}\left(y^{2}+a^{2},y^{2}-b^{2},y^{2}\right).}}


Constraint(s)

Symbols List

  • R F ⁑ ( x , y , z ) Carlson-integral-RF π‘₯ 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : symmetric elliptic integral of first kind
  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  •  Edit this on Wikidata

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