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Y0(3P)                     POSIX Programmer's Manual                    Y0(3P)



PROLOG
       This manual page is part of the POSIX Programmer's Manual.  The Linux implementation of this interface may dif-
       fer (consult the corresponding Linux manual page for details of Linux behavior), or the interface  may  not  be
       implemented on Linux.

NAME
       y0, y1, yn - Bessel functions of the second kind

SYNOPSIS
       #include <math.h>

       double y0(double x);
       double y1(double x);
       double yn(int n, double x);


DESCRIPTION
       The  y0(),  y1(), and yn() functions shall compute Bessel functions of x of the second kind of orders 0, 1, and
       n, respectively.

       An application  wishing  to  check  for  error  situations  should  set  errno  to  zero  and  call  feclearex-
       cept(FE_ALL_EXCEPT) before calling these functions.  On return, if errno is non-zero or fetestexcept(FE_INVALID
       | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.

RETURN VALUE
       Upon successful completion, these functions shall return the relevant Bessel value of x of the second kind.

       If x is NaN, NaN shall be returned.

       If the x argument to these functions is negative, -HUGE_VAL or NaN shall be returned, and a  domain  error  may
       occur.

       If x is 0.0, -HUGE_VAL shall be returned and a range error may occur.

       If the correct result would cause underflow, 0.0 shall be returned and a range error may occur.

       If the correct result would cause overflow, -HUGE_VAL or 0.0 shall be returned and a range error may occur.

ERRORS
       These functions may fail if:

       Domain Error
              The value of x is negative.

       If  the  integer  expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [EDOM]. If
       the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the invalid floating-point  excep-
       tion shall be raised.

       Range Error
              The value of x is 0.0, or the correct result would cause overflow.

       If  the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If
       the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the overflow floating-point excep-
       tion shall be raised.

       Range Error
              The value of x is too large in magnitude, or the correct result would cause underflow.

       If  the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If
       the integer expression (math_errhandling & MATH_ERREXCEPT)  is  non-zero,  then  the  underflow  floating-point
       exception shall be raised.


       The following sections are informative.

EXAMPLES
       None.

APPLICATION USAGE
       On  error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are indepen-
       dent of each other, but at least one of them must be non-zero.

RATIONALE
       None.

FUTURE DIRECTIONS
       None.

SEE ALSO
       feclearexcept(), fetestexcept(), isnan(), j0(), the Base Definitions volume  of  IEEE Std 1003.1-2001,  Section
       4.18, Treatment of Error Conditions for Mathematical Functions, <math.h>

COPYRIGHT
       Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Stan-
       dard for Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base  Specifica-
       tions  Issue  6,  Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The
       Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Stan-
       dard,  the  original  IEEE  and  The  Open Group Standard is the referee document. The original Standard can be
       obtained online at http://www.opengroup.org/unix/online.html .



IEEE/The Open Group                  2003                               Y0(3P)