ELNTN 3CW "01 March 2010" "mathcw-1.00"

Table of contents


NAME

elntnf, elntn, elntnl, elntnw, elntnq, elntnll, elntndf, elntnd, elntndl, elntndll - Neville elliptic theta-n function

SYNOPSIS

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

#include <mathcw.h>

extern float elntnf (float u, float k);

extern double elntn (double u, double k);

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

extern __float80 elntnw (__float80 u, __float80 k);

extern __float128 elntnq (__float128 u, __float128 k);

extern long_long_double elntnll (long_long_double u, long_long_double k);

extern decimal_float elntndf (decimal_float u, decimal_float k);

extern decimal_double elntnd (decimal_double u, decimal_double k);

extern decimal_long_double elntndl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double elntndll (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 Neville elliptic theta-n function.

The argument u is unrestricted, but accuracy deteriorates severely for u values outside the period of the elliptic function. The argument k (the modulus) is in [-1,+1].

See M. Abramowitz & I. A. Stegun, Handbook of Mathematical Functions, Chapter 16, for definitions of the Neville elliptic theta functions.


RETURN VALUES

Return the Neville elliptic function, theta_n(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

elk(3CW), elkm1(3CW), elntc(3CW), elntd(3CW), elnts(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).