Carlson symmetric form

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

[RC(x,y) := \frac \int_0^\infty (t+x)^ (t+y)^\,dt]

[RD(x,y,z) := \frac \int_0^\infty (t+x)^ (t+y)^ (t+z)^\,dt]

[RF(x,y,z) : \frac \int_0^\infty (t+x)^ (t+y)^ (t+z)^\,dt]

[RJ(x,y,z,p) := \frac \int_0^\infty (t+x)^ (t+y)^ (t+z)^ (t+p)^\,dt]

 

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