Module rgsl::elliptic::carlson
[−]
[src]
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. |