Carlson symmetric form

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In mathematics, the Carlson symmetric forms of elliptic integrals, RC, RD, RF and RJ are defined by

<math>RC(x,y) := \frac{1}{2} \int_0^\infty (t+x)^{-1/2} (t+y)^{-1}\,dt</math>

<math>RD(x,y,z) := \frac{3}{2} \int_0^\infty (t+x)^{-1/2} (t+y)^{-1/2} (t+z)^{-3/2}\,dt</math>

<math>RF(x,y,z) : \frac{1}{2} \int_0^\infty (t+x)^{-1/2} (t+y)^{-1/2} (t+z)^{-1/2}\,dt</math>

<math>RJ(x,y,z,p) := \frac{3}{2} \int_0^\infty (t+x)^{-1/2} (t+y)^{-1/2} (t+z)^{-1/2} (t+p)^{-1}\,dt</math>Template:Geometry-stub