Module rgsl::elliptic::carlson

The Carlson symmetric forms of elliptical integrals RC(x,y), RD(x,y,z), RF(x,y,z) and RJ(x,y,z,p) are defined by,

RC(x,y) = 1/2 \int_0^\infty dt (t+x)^-1/2 (t+y)^-1

RD(x,y,z) = 3/2 \int_0^\infty dt (t+x)^-1/2 (t+y)^-1/2 (t+z)^-3/2

RF(x,y,z) = 1/2 \int_0^\infty dt (t+x)^-1/2 (t+y)^-1/2 (t+z)^-1/2

RJ(x,y,z,p) = 3/2 \int_0^\infty dt (t+x)^-1/2 (t+y)^-1/2 (t+z)^-1/2 (t+p)^-1

Functions

ellint_RC	This routine computes the incomplete elliptic integral RC(x,y) to the accuracy specified by the mode variable mode.
ellint_RC_e	This routine computes the incomplete elliptic integral RC(x,y) to the accuracy specified by the mode variable mode.
ellint_RD	This routine computes the incomplete elliptic integral RD(x,y,z) to the accuracy specified by the mode variable mode.
ellint_RD_e	This routine computes the incomplete elliptic integral RD(x,y,z) to the accuracy specified by the mode variable mode.
ellint_RF	This routine computes the incomplete elliptic integral RF(x,y,z) to the accuracy specified by the mode variable mode.
ellint_RF_e	This routine computes the incomplete elliptic integral RF(x,y,z) to the accuracy specified by the mode variable mode.
ellint_RJ	This routine computes the incomplete elliptic integral RJ(x,y,z,p) to the accuracy specified by the mode variable mode.
ellint_RJ_e	This routine computes the incomplete elliptic integral RJ(x,y,z,p) to the accuracy specified by the mode variable mode.