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J0(3P)			   POSIX Programmer's Manual			J0(3P)

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
       j0, j1, jn — Bessel functions of the first kind

SYNOPSIS
       #include <math.h>

       double j0(double x);
       double j1(double x);
       double jn(int n, double x);

DESCRIPTION
       The j0(), j1(), and jn() functions shall compute Bessel functions of  x
       of the first 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 first kind.

       If the x argument is too large in  magnitude,  or  the  correct	result
       would cause underflow, 0 shall be returned and a range error may occur.

       If x is NaN, a NaN shall be returned.

ERRORS
       These functions may fail if:

       Range Error The	value of x was too large in magnitude, or an underflow
		   occurred.

		   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.

       No other errors shall occur.

       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(), y0()

       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 Electri‐
       cal  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.ker‐
       nel.org/doc/man-pages/reporting_bugs.html .

IEEE/The Open Group		     2013				J0(3P)
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