j0(3) — Linux manual page

j0(3)                   Library Functions Manual                   j0(3)

NAME

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

LIBRARY

       Math library (libm, -lm)

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);

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

       j0(), j1(), jn():
           _XOPEN_SOURCE
               || /* Since glibc 2.19: */ _DEFAULT_SOURCE
               || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE

       j0f(), j0l(), j1f(), j1l(), jnf(), jnl():
           _XOPEN_SOURCE >= 600
               || (_ISOC99_SOURCE && _XOPEN_SOURCE)
               || /* Since glibc 2.19: */ _DEFAULT_SOURCE
               || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE

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).

ATTRIBUTES

       For an explanation of the terms used in this section, see
       attributes(7).
       ┌─────────────────────────────────────┬───────────────┬─────────┐
       │ Interface                           │ Attribute     │ Value   │
       ├─────────────────────────────────────┼───────────────┼─────────┤
       │ j0(), j0f(), j0l()                  │ Thread safety │ MT-Safe │
       ├─────────────────────────────────────┼───────────────┼─────────┤
       │ j1(), j1f(), j1l()                  │ Thread safety │ MT-Safe │
       ├─────────────────────────────────────┼───────────────┼─────────┤
       │ jn(), jnf(), jnl()                  │ Thread safety │ MT-Safe │
       └─────────────────────────────────────┴───────────────┴─────────┘

STANDARDS

       j0()
       j1()
       jn()   POSIX.1-2008.

       Others:
              BSD.

HISTORY

       j0()
       j1()
       jn()   SVr4, 4.3BSD, POSIX.1-2001, POSIX.1-2008.

       Others:
              BSD.

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

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Linux man-pages 6.9.1          2024-05-02                          j0(3)

Pages that refer to this page: y0(3)

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