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NAME | LIBRARY | SYNOPSIS | DESCRIPTION | RETURN VALUE | ERRORS | ATTRIBUTES | STANDARDS | HISTORY | BUGS | SEE ALSO | COLOPHON |
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j0(3) Library Functions Manual j0(3)
j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl - Bessel functions of the
first kind
Math library (libm, -lm)
#include <math.h>
double j0(double x);
double j1(double x);
double jn(int n, double x);
float j0f(float x);
float j1f(float x);
float jnf(int n, float x);
long double j0l(long double x);
long double j1l(long double x);
long double jnl(int n, long double x);
Feature Test Macro Requirements for glibc (see
feature_test_macros(7)):
j0(), j1(), jn():
_XOPEN_SOURCE
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
j0f(), j0l(), j1f(), j1l(), jnf(), jnl():
_XOPEN_SOURCE >= 600
|| (_ISOC99_SOURCE && _XOPEN_SOURCE)
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCE
The j0() and j1() functions return Bessel functions of x of the
first kind of orders 0 and 1, respectively. The jn() function
returns the Bessel function of x of the first kind of order n.
The j0f(), j1f(), and jnf(), functions are versions that take and
return float values. The j0l(), j1l(), and jnl() functions are
versions that take and return long double values.
On success, these functions return the appropriate Bessel value of
the first kind for x.
If x is a NaN, a NaN is returned.
If x is too large in magnitude, or the result underflows, a range
error occurs, and the return value is 0.
See math_error(7) for information on how to determine whether an
error has occurred when calling these functions.
The following errors can occur:
Range error: result underflow, or x is too large in magnitude
errno is set to ERANGE.
These functions do not raise exceptions for fetestexcept(3).
For an explanation of the terms used in this section, see
attributes(7).
┌──────────────────────────────────────┬───────────────┬─────────┐
│ Interface │ Attribute │ Value │
├──────────────────────────────────────┼───────────────┼─────────┤
│ j0(), j0f(), j0l() │ Thread safety │ MT-Safe │
├──────────────────────────────────────┼───────────────┼─────────┤
│ j1(), j1f(), j1l() │ Thread safety │ MT-Safe │
├──────────────────────────────────────┼───────────────┼─────────┤
│ jn(), jnf(), jnl() │ Thread safety │ MT-Safe │
└──────────────────────────────────────┴───────────────┴─────────┘
j0()
j1()
jn() POSIX.1-2008.
Others:
BSD.
j0()
j1()
jn() SVr4, 4.3BSD, POSIX.1-2001, POSIX.1-2008.
Others:
BSD.
There are errors of up to 2e-16 in the values returned by j0(),
j1(), and jn() for values of x between -8 and 8.
y0(3)
This page is part of the man-pages (Linux kernel and C library
user-space interface documentation) project. Information about
the project can be found at
⟨https://www.kernel.org/doc/man-pages/⟩. If you have a bug report
for this manual page, see
⟨https://git.kernel.org/pub/scm/docs/man-pages/man-pages.git/tree/CONTRIBUTING⟩.
This page was obtained from the tarball man-pages-6.15.tar.gz
fetched from
⟨https://mirrors.edge.kernel.org/pub/linux/docs/man-pages/⟩ on
2025-08-11. If you discover any rendering problems in this HTML
version of the page, or you believe there is a better or more up-
to-date source for the page, or you have corrections or
improvements to the information in this COLOPHON (which is not
part of the original manual page), send a mail to
man-pages@man7.org
Linux man-pages 6.15 2025-05-17 j0(3)
Pages that refer to this page: y0(3)
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HTML rendering created 2025-09-06 by Michael Kerrisk, author of The Linux Programming Interface. For details of in-depth Linux/UNIX system programming training courses that I teach, look here. Hosting by jambit GmbH. |
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