
Y0(P) POSIX Programmer's Manual Y0(P)
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
feclearexcept(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 nonzero,
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 nonzero, then errno shall be
set to [EDOM]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is nonzero,
then the invalid floatingpoint exception 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 nonzero, then errno shall be
set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non
zero, then the overflow floatingpoint exception shall be raised.
Range Error
The value of x is too large in magnitude, or the correct result would cause under
flow.
If the integer expression (math_errhandling & MATH_ERRNO) is nonzero, then errno shall be
set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non
zero, then the underflow floatingpoint 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 independent of each other, but at least one of them must be nonzero.
RATIONALE
None.
FUTURE DIRECTIONS
None.
SEE ALSO
feclearexcept() , fetestexcept() , isnan() , j0() , the Base Definitions volume of
IEEE Std 1003.12001, Section 4.18, Treatment of Error Conditions for Mathematical Func
tions, <math.h>
COPYRIGHT
Portions of this text are reprinted and reproduced in electronic form from IEEE Std
1003.1, 2003 Edition, Standard for Information Technology  Portable Operating System
Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 20012003 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
Standard, the original IEEE and The Open Group Standard is the referee document. The orig
inal Standard can be obtained online at http://www.opengroup.org/unix/online.html .
IEEE/The Open Group 2003 Y0(P) 
