ELJH 3CW "11 February 2010" "mathcw-1.00"

Table of contents


NAME

eljhf, eljh, eljhl, eljhw, eljhq, eljhll, eljhdf, eljhd, eljhdl, eljhdll - Jacobian Eta function

SYNOPSIS

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

#include <mathcw.h>

extern float eljhf (float u, float k);

extern double eljh (double u, double k);

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

extern __float80 eljhw (__float80 u, __float80 k);

extern __float128 eljhq (__float128 u, __float128 k);

extern long_long_double eljhll (long_long_double u, long_long_double k);

extern decimal_float eljhdf (decimal_float u, decimal_float k);

extern decimal_double eljhd (decimal_double u, decimal_double k);

extern decimal_long_double eljhdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljhdll (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 Jacobian Eta function defined by
H(u,k) = eljh(u,k).

The argument u is unrestricted, but k 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, Eta, theta, Theta, and Zeta functions, and section 16.31 for H(u,k).


RETURN VALUES

Return the value of the Jacobian elliptic Eta function, H(u,k).

ERRORS

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

SEE ALSO

agm(3CW), eljacd(3CW), eljacn(3CW), eljacs(3CW), eljadc(3CW), eljadn(3CW), eljads(3CW), eljag(3CW), eljam(3CW), eljanc(3CW), eljand(3CW), eljans(3CW), eljasc(3CW), eljasd(3CW), eljasn(3CW), eljcd(3CW), eljcn(3CW), eljcs(3CW), eljdc(3CW), eljdn(3CW), eljds(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).