home   contributing   bugs   download   online pages  

NAME | SYNOPSIS | DESCRIPTION | RETURN VALUE | ERRORS | CONFORMING TO | BUGS | SEE ALSO | COLOPHONThe Linux Programming Interface


J0(3)                         Linux Programmer's Manual                         J0(3)

NAME         top

       j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl - Bessel functions of the first kind

SYNOPSIS         top

       #include <math.h>

       double j0(double x);
       double j1(double x);
       double jn(int n, double x);

       float j0f(float x);
       float j1f(float x);
       float jnf(int n, float x);

       long double j0l(long double x);
       long double j1l(long double x);
       long double jnl(int n, long double x);

       Link with -lm.

   Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

       j0(), j1(), jn():
           _SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
       j0f(), j0l(), j1f(), j1l(), jnf(), jnl():
           _SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE >= 600

DESCRIPTION         top

       The j0() and j1() functions return Bessel functions of x of the first kind of
       orders 0 and 1, respectively.  The jn() function returns the Bessel function
       of x of the first kind of order n.

       The j0f() etc. and j0l() etc. functions are versions that take and return
       float and long double values, respectively.

RETURN VALUE         top

       On success, these functions return the appropriate Bessel value of the first
       kind for x.

       If x is a NaN, a NaN is returned.

       If x is too large in magnitude, or the result underflows, a range error
       occurs, and the return value is 0.

ERRORS         top

       See math_error(7) for information on how to determine whether an error has
       occurred when calling these functions.

       The following errors can occur:

       Range error: result underflow, or x is too large in magnitude
              errno is set to ERANGE.

       These functions do not raise exceptions for fetestexcept(3).

CONFORMING TO         top

       The functions returning double conform to SVr4, 4.3BSD, POSIX.1-2001.  The
       others are nonstandard functions that also exist on the BSDs.

BUGS         top

       There are errors of up to 2e-16 in the values returned by j0(), j1() and jn()
       for values of x between -8 and 8.

SEE ALSO         top

       y0(3)

COLOPHON         top

       This page is part of release 3.32 of the Linux man-pages project.  A
       description of the project, and information about reporting bugs, can be found
       at http://www.kernel.org/doc/man-pages/.

                                      2010-09-20                                J0(3)

HTML rendering created 2010-12-03 by Michael Kerrisk, author of The Linux Programming Interface

customisable
counter