ELJTD4 3CW "11 February 2010" "mathcw-1.00"

Table of contents


NAME

eljtd4f, eljtd4, eljtd4l, eljtd4w, eljtd4q, eljtd4ll, eljtd4df, eljtd4d, eljtd4dl, eljtd4dll - logarithmic derivative of Jacobian elliptic theta function of the fourth kind

SYNOPSIS

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

#include <mathcw.h>

extern float eljtd4f (float u, float q);

extern double eljtd4 (double u, double q);

extern long double eljtd4l (long double u, long double q);

extern __float80 eljtd4w (__float80 u, __float80 q);

extern __float128 eljtd4q (__float128 u, __float128 q);

extern long_long_double eljtd4ll (long_long_double u, long_long_double q);

extern decimal_float eljtd4df (decimal_float u, decimal_float q);

extern decimal_double eljtd4d (decimal_double u, decimal_double q);

extern decimal_long_double eljtd4dl (decimal_long_double u, decimal_long_double q);

extern decimal_long_long_double eljtd4dll (decimal_long_long_double u, decimal_long_long_double q);

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


DESCRIPTION

Compute the logarithmic derivative of the Jacobian elliptic theta function of the fourth kind defined by
theta4'(u,q) / theta4(u,q) = eljtd4(u,q).

The argument u is unrestricted, but q is required to be in [0,1).

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 value of the logarithmic derivative of the Jacobian elliptic theta function of the fourth kind.

ERRORS

If either argument is a NaN, return that argument. If q 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), 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), eljtda(3CW), eljz(3CW), elk(3CW), elkm1(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).