ELJTD1 3CW "11 February 2010" "mathcw-1.00"

Table of contents


NAME

eljtd1f, eljtd1, eljtd1l, eljtd1w, eljtd1q, eljtd1ll, eljtd1df, eljtd1d, eljtd1dl, eljtd1dll - logarithmic derivative of Jacobian elliptic theta function of first kind

SYNOPSIS

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

#include <mathcw.h>

extern float eljtd1f (float u, float q);

extern double eljtd1 (double u, double q);

extern long double eljtd1l (long double u, long double q);

extern __float80 eljtd1w (__float80 u, __float80 q);

extern __float128 eljtd1q (__float128 u, __float128 q);

extern long_long_double eljtd1ll (long_long_double u, long_long_double q);

extern decimal_float eljtd1df (decimal_float u, decimal_float q);

extern decimal_double eljtd1d (decimal_double u, decimal_double q);

extern decimal_long_double eljtd1dl (decimal_long_double u, decimal_long_double q);

extern decimal_long_long_double eljtd1dll (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 first kind defined by
theta1'(u,q) / theta1(u,q) = eljtd1(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 first 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), eljtd2(3CW), eljtd3(3CW), eljtd4(3CW), eljtda(3CW), eljz(3CW), elk(3CW), elkm1(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).