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j0(3) — Linux manual page

NAME \|LIBRARY \|SYNOPSIS \|DESCRIPTION \|RETURN VALUE \|ERRORS \|ATTRIBUTES \|STANDARDS \|HISTORY \|BUGS \|SEE ALSO \|COLOPHON

j0(3)                    Library Functions Manualj0(3)

NAME top

       j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl - Bessel functions of the       first kind

LIBRARY top

       Math library (libm,-lm)

SYNOPSIS top

#include <math.h>double j0(doublex);double j1(doublex);double jn(intn, doublex);float j0f(floatx);float j1f(floatx);float jnf(intn, floatx);long double j0l(long doublex);long double j1l(long doublex);long double jnl(intn, long doublex);   Feature Test Macro Requirements for glibc (seefeature_test_macros(7)):j0(),j1(),jn():           _XOPEN_SOURCE               || /* Since glibc 2.19: */ _DEFAULT_SOURCE               || /* glibc <= 2.19: */ _SVID_SOURCE || _BSD_SOURCEj0f(),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

DESCRIPTION top

       Thej0() andj1() functions return Bessel functions ofx of the       first kind of orders 0 and 1, respectively.  Thejn() function       returns the Bessel function ofx of the first kind of ordern.       Thej0f(),j1f(), andjnf(), functions are versions that take and       returnfloat values.  Thej0l(),j1l(), andjnl() functions are       versions that take and returnlong double values.

RETURN VALUE top

       On success, these functions return the appropriate Bessel value of       the first kind forx.       Ifx is a NaN, a NaN is returned.       Ifx is too large in magnitude, or the result underflows, a range       error occurs, and the return value is 0.

ERRORS top

       Seemath_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, orx is too large in magnitudeerrno is set toERANGE.       These functions do not raise exceptions forfetestexcept(3).

ATTRIBUTES top

       For an explanation of the terms used in this section, seeattributes(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 │       └──────────────────────────────────────┴───────────────┴─────────┘

STANDARDS top

j0()j1()jn()   POSIX.1-2008.       Others:              BSD.

HISTORY top

j0()j1()jn()   SVr4, 4.3BSD, POSIX.1-2001, POSIX.1-2008.       Others:              BSD.

BUGS top

       There are errors of up to 2e-16 in the values returned byj0(),j1(), andjn() for values ofx between -8 and 8.

COLOPHON top

       This page is part of theman-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 isnot       part of the original manual page), send a mail to       man-pages@man7.orgLinux man-pages 6.15            2025-05-17j0(3)

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