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+'\" t
+.\" Copyright 1993 David Metcalfe (david@prism.demon.co.uk)
+.\" and Copyright 2008, Linux Foundation, written by Michael Kerrisk
+.\"     <mtk.manpages@gmail.com>
+.\"
+.\" SPDX-License-Identifier: Linux-man-pages-copyleft
+.\"
+.\" References consulted:
+.\"     Linux libc source code
+.\"     Lewine's _POSIX Programmer's Guide_ (O'Reilly & Associates, 1991)
+.\"     386BSD man pages
+.\" Modified Sat Jul 24 19:08:17 1993 by Rik Faith (faith@cs.unc.edu)
+.\" Modified 2002-08-25, aeb
+.\" Modified 2004-11-12 as per suggestion by Fabian Kreutz/AEB
+.\" 2008-07-24, mtk, moved yxx() material into separate y0.3 page
+.\"
+.TH j0 3 2023-07-20 "Linux man-pages 6.05.01"
+.SH NAME
+j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl \-
+Bessel functions of the first kind
+.SH LIBRARY
+Math library
+.RI ( libm ", " \-lm )
+.SH SYNOPSIS
+.nf
+.B #include <math.h>
+.PP
+.BI "double j0(double " x );
+.BI "double j1(double " x );
+.BI "double jn(int " n ", double " x );
+.PP
+.BI "float j0f(float " x );
+.BI "float j1f(float " x );
+.BI "float jnf(int " n ", float " x );
+.PP
+.BI "long double j0l(long double " x );
+.BI "long double j1l(long double " x );
+.BI "long double jnl(int " n ", long double " x );
+.fi
+.PP
+.RS -4
+Feature Test Macro Requirements for glibc (see
+.BR feature_test_macros (7)):
+.RE
+.PP
+.BR j0 (),
+.BR j1 (),
+.BR jn ():
+.nf
+    _XOPEN_SOURCE
+        || /* Since glibc 2.19: */ _DEFAULT_SOURCE
+        || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
+.fi
+.PP
+.BR j0f (),
+.BR j0l (),
+.BR j1f (),
+.BR j1l (),
+.BR jnf (),
+.BR jnl ():
+.nf
+    _XOPEN_SOURCE >= 600
+        || (_ISOC99_SOURCE && _XOPEN_SOURCE)
+        || /* Since glibc 2.19: */ _DEFAULT_SOURCE
+        || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
+.fi
+.SH DESCRIPTION
+The
+.BR j0 ()
+and
+.BR j1 ()
+functions return Bessel functions of
+.I x
+of the first kind of orders 0 and 1, respectively.
+The
+.BR jn ()
+function
+returns the Bessel function of
+.I x
+of the first kind of order
+.IR n .
+.PP
+The
+.BR j0f (),
+.BR j1f (),
+and
+.BR jnf (),
+functions are versions that take and return
+.I float
+values.
+The
+.BR j0l (),
+.BR j1l (),
+and
+.BR jnl ()
+functions are versions that take and return
+.I "long double"
+values.
+.SH RETURN VALUE
+On success, these functions return the appropriate
+Bessel value of the first kind for
+.IR x .
+.PP
+If
+.I x
+is a NaN, a NaN is returned.
+.PP
+If
+.I x
+is too large in magnitude,
+or the result underflows,
+a range error occurs,
+and the return value is 0.
+.SH ERRORS
+See
+.BR math_error (7)
+for information on how to determine whether an error has occurred
+when calling these functions.
+.PP
+The following errors can occur:
+.TP
+Range error: result underflow, or \fIx\fP is too large in magnitude
+.I errno
+is set to
+.BR ERANGE .
+.PP
+These functions do not raise exceptions for
+.BR fetestexcept (3).
+.\" e.g., j0(1.5e16)
+.\" This is intentional.
+.\" See https://www.sourceware.org/bugzilla/show_bug.cgi?id=6805
+.SH ATTRIBUTES
+For an explanation of the terms used in this section, see
+.BR attributes (7).
+.TS
+allbox;
+lbx lb lb
+l l l.
+Interface	Attribute	Value
+T{
+.na
+.nh
+.BR j0 (),
+.BR j0f (),
+.BR j0l ()
+T}	Thread safety	MT-Safe
+T{
+.na
+.nh
+.BR j1 (),
+.BR j1f (),
+.BR j1l ()
+T}	Thread safety	MT-Safe
+T{
+.na
+.nh
+.BR jn (),
+.BR jnf (),
+.BR jnl ()
+T}	Thread safety	MT-Safe
+.TE
+.sp 1
+.SH STANDARDS
+.TP
+.BR j0 ()
+.TQ
+.BR j1 ()
+.TQ
+.BR jn ()
+POSIX.1-2008.
+.TP
+Others:
+BSD.
+.SH HISTORY
+.TP
+.BR j0 ()
+.TQ
+.BR j1 ()
+.TQ
+.BR jn ()
+SVr4, 4.3BSD,
+POSIX.1-2001, POSIX.1-2008.
+.TP
+Others:
+BSD.
+.SH BUGS
+There are errors of up to 2e\-16 in the values returned by
+.BR j0 (),
+.BR j1 (),
+and
+.BR jn ()
+for values of
+.I x
+between \-8 and 8.
+.SH SEE ALSO
+.BR y0 (3)