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- CARLSON.DOC Carlson elliptic integrals.
- Jim FitzSimons cherry@neta.com
-
- The utility CARLSON.MTH contains the best way to numerically evaluate
- elliptic integrals. It contains the definition of the Carlson elliptic
- integrals RF(x,y,z), RJ(x,y,z,p), RC(x,y), RD(x,y,z), and RG(x,y,z).
- It contains the definitions of the Legendre elliptic integrals
- ELLIPTIC_F(phi,m), ELLIPTIC_E(phi,m), and ELLIPTIC_PI(phi,m,n).
-
- The numerical algorithms are based on Numerical Algorithms 10(1995)13-26.
- B.C. Carlson Numerical computation of real or complex elliptic integrals
- The numerical Carlson elliptic integral are R_F(x,y,z), R_C(x,y),
- R_J(x,y,z,p), R_D(x,y,z), and R_G(x,y,z).
- The numerical Legendre elliptic integral are LEGENDRE_F(phi,m),
- LEGENDRE_E(phi,m), and LEGENDRE_PI(phi,m,n).
-
- These algorithms are good for calculating the elliptic integrals to very
- large precision.
- These algorithms are good for calculating the elliptic integrals with
- both real and complex arguments.
- There is demonstration file CARLSON.DMO which tests the elliptic integrals
- for both real and complex arguments.