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J0(3)			 BSD 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 the order 0 and the order 1, respectively, 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 indepen‐
     dent Bessel function of the second kind of the order 0 and the order 1,
     respectively, 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, these routines will generate an invalid exception and return
     NaN.  If x is 0 or a sufficiently small positive number, these routines
     will generate an overflow exception and return -∞.

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.

BSD			       February 18, 2008			   BSD
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