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J0(3)                  FreeBSD Library Functions Manual                  J0(3)

NAME
     j0, j0f, j1, j1f, jn, jnf, y0, y0f, y1, y1f, yn, ynf - Bessel functions
     of first and second kind

LIBRARY
     Math Library (libm, -lm)

SYNOPSIS
     #include <math.h>

     double
     j0(double x);

     float
     j0f(float x);

     double
     j1(double x);

     float
     j1f(float x);

     double
     jn(int n, double x);

     float
     jnf(int n, float x);

     double
     y0(double x);

     float
     y0f(float x);

     double
     y1(double x);

     float
     y1f(float x);

     double
     yn(int n, double x);

     float
     ynf(int n, float x);

DESCRIPTION
     The functions j0(), j0f(), j1(), and j1f() compute the Bessel function of
     the first kind of orders 0 and 1 for the real value x; the functions jn()
     and jnf() compute the Bessel function of the first kind of the integer
     order n for the real value x.

     The functions y0(), y0f(), y1(), and y1f() compute the linearly
     independent Bessel function of the second kind of orders 0 and 1 for the
     positive real value x; the functions yn() and ynf() compute the Bessel
     function of the second kind for the integer order n for the positive real
     value x.

RETURN VALUES
     These routines return values of their respective Bessel functions.  For
     large positive inputs, they may underflow and return +-0.

     The following applies to y0(), y0f(), y1(), y1f(), yn(), and ynf().  If x
     is negative, including -infinity, these routines will generate an invalid
     exception and return NaN.  If x is +-0, these routines will generate a
     divide-by-zero exception and return -infinity.  If x is a sufficiently
     small positive number, then y1(), y1f(), yn(), and ynf() will generate an
     overflow exception and return -infinity.

SEE ALSO
     math(3)

STANDARDS
     The j0(), j1(), jn(), y0(), y1(), and yn() functions conform to IEEE Std
     1003.1-2001 (``POSIX.1'').  The float versions are extensions.

HISTORY
     This set of functions appeared in Version 7 AT&T UNIX.

FreeBSD 11.0-PRERELEASE         March 10, 2015         FreeBSD 11.0-PRERELEASE

NAME | LIBRARY | SYNOPSIS | DESCRIPTION | RETURN VALUES | SEE ALSO | STANDARDS | HISTORY

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