ELJANS 3CW "14 February 2010" "mathcw-1.00"

Table of contents


NAME

eljansf, eljans, eljansl, eljansw, eljansq, eljansll, eljansdf, eljansd, eljansdl, eljansdll - inverse Jacobian elliptic function

SYNOPSIS

cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ]

#include <mathcw.h>

extern float eljansf (float u, float k);

extern double eljans (double u, double k);

extern long double eljansl (long double u, long double k);

extern __float80 eljansw (__float80 u, __float80 k);

extern __float128 eljansq (__float128 u, __float128 k);

extern long_long_double eljansll (long_long_double u, long_long_double k);

extern decimal_float eljansdf (decimal_float u, decimal_float k);

extern decimal_double eljansd (decimal_double u, decimal_double k);

extern decimal_long_double eljansdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljansdll (decimal_long_long_double u, decimal_long_long_double k);

NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.


DESCRIPTION

Compute the inverse Jacobian elliptic function
eljans(v, k) = ans(v, k) = u,
where
eljns(u,k) = ns(u,k) = v.

The magnitude of the argument v must be in [+1,Infinity), and the argument k (the modulus) is required to be in [-1,+1].

See M. Abramowitz & I. A. Stegun, Handbook of Mathematical Functions, Chapter 16, for definitions of the Jacobian elliptic, theta, and zeta functions.


RETURN VALUES

Return the inverse Jacobian elliptic function ans(v,k).

ERRORS

If either argument is a NaN, return that argument. If either argument is out of range, set errno to EDOM and return a quiet NaN.

SEE ALSO

agm(3CW), eljaam(3CW), eljacd(3CW), eljacn(3CW), eljacs(3CW), eljadc(3CW), eljadn(3CW), eljads(3CW), eljag(3CW), eljam(3CW), eljanc(3CW), eljand(3CW), eljasc(3CW), eljasd(3CW), eljasn(3CW), eljcd(3CW), eljcs(3CW), eljdc(3CW), eljdn(3CW), eljds(3CW), eljh(3CW), eljh4(3CW), eljnc(3CW), eljnd(3CW), eljns(3CW), eljsc(3CW), eljsd(3CW), eljsn(3CW), eljt(3CW), eljt1(3CW), eljt2(3CW), eljt3(3CW), eljt4(3CW), eljta(3CW), eljtd1(3CW), eljtd2(3CW), eljtd3(3CW), eljtd4(3CW), eljtda(3CW), eljz(3CW), elk(3CW), elkm1(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).