PROLOG¶

This manual page is part of the POSIX Programmer's Manual. The Linux implementation of this interface may differ (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 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 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 pole 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.

Pole Error

The value of x is zero.

Range Error

The correct result would cause overflow.

Range Error

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

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 non-zero.

RATIONALE¶

None.

FUTURE DIRECTIONS¶

None.

SEE ALSO¶

feclearexcept(), fetestexcept(), isnan(), j0()

The Base Definitions volume of POSIX.1‐2008, Section 4.19, 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, 2013 Edition, Standard for Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 7, Copyright (C) 2013 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. (This is POSIX.1-2008 with the 2013 Technical Corrigendum 1 applied.) 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 original Standard can be obtained online at http://www.unix.org/online.html .

Any typographical or formatting errors that appear in this page are most likely to have been introduced during the conversion of the source files to man page format. To report such errors, see https://www.kernel.org/doc/man-pages/reporting_bugs.html .