ELJTD3 3CW "11 February 2010" "mathcw-1.00"

Table of contents


NAME

eljtd3f, eljtd3, eljtd3l, eljtd3w, eljtd3q, eljtd3ll, eljtd3df, eljtd3d, eljtd3dl, eljtd3dll - logarithmic derivative of Jacobian elliptic theta function of the third kind

SYNOPSIS

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

#include <mathcw.h>

extern float eljtd3f (float u, float q);

extern double eljtd3 (double u, double q);

extern long double eljtd3l (long double u, long double q);

extern __float80 eljtd3w (__float80 u, __float80 q);

extern __float128 eljtd3q (__float128 u, __float128 q);

extern long_long_double eljtd3ll (long_long_double u, long_long_double q);

extern decimal_float eljtd3df (decimal_float u, decimal_float q);

extern decimal_double eljtd3d (decimal_double u, decimal_double q);

extern decimal_long_double eljtd3dl (decimal_long_double u, decimal_long_double q);

extern decimal_long_long_double eljtd3dll (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 third kind defined by
theta3'(u,q) / theta3(u,q) = eljtd3(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 third 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), eljtd4(3CW), eljtda(3CW), eljz(3CW), elk(3CW), elkm1(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).