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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(), j1f(), and jnf(),  functions  are  versions  that  take  and
       return  float  values.   The  j0l(),  j1l(),  and  jnl()  functions are
       versions that take and return long double values.

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 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

       The  functions  returning double conform to SVr4, 4.3BSD, POSIX.1-2001.
       The others are nonstandard 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 3.65 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/.

                                  2014-01-18                             J0(3)



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