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



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

SYNOPSIS
       #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
       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, respec-
       tively.

RETURN VALUE
       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
       See  math_error(7)  for  information on how to determine whether an error has occurred when calling these func-
       tions.

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

BUGS
       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
       y0(3)

COLOPHON
       This page is part of release 3.22 of the Linux man-pages project.  A description of the project,  and  informa-
       tion about reporting bugs, can be found at http://www.kernel.org/doc/man-pages/.



                                  2008-08-05                             J0(3)