ELJTD2 3CW "11 February 2010" "mathcw-1.00"

Table of contents


NAME

eljtd2f, eljtd2, eljtd2l, eljtd2w, eljtd2q, eljtd2ll, eljtd2df, eljtd2d, eljtd2dl, eljtd2dll - logarithmic derivative of Jacobian elliptic theta function of the second kind

SYNOPSIS

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

#include <mathcw.h>

extern float eljtd2f (float u, float q);

extern double eljtd2 (double u, double q);

extern long double eljtd2l (long double u, long double q);

extern __float80 eljtd2w (__float80 u, __float80 q);

extern __float128 eljtd2q (__float128 u, __float128 q);

extern long_long_double eljtd2ll (long_long_double u, long_long_double q);

extern decimal_float eljtd2df (decimal_float u, decimal_float q);

extern decimal_double eljtd2d (decimal_double u, decimal_double q);

extern decimal_long_double eljtd2dl (decimal_long_double u, decimal_long_double q);

extern decimal_long_long_double eljtd2dll (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 second kind defined by
theta2'(u,q) / theta2(u,q) = eljtd2(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 second 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), eljtd3(3CW), eljtd4(3CW), eljtda(3CW), eljz(3CW), elk(3CW), elkm1(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).