j0 - Online Linux Manual PageSection : 3
Updated : 2023-02-05
Source : Linux man-pages 6.03
NAMEj0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl − Bessel functions of the first kind
LIBRARYMath library (libm, −lm)
SYNOPSIS#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_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
DESCRIPTIONThe 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.
RETURN VALUEOn 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.
ERRORSSee 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).
ATTRIBUTESFor an explanation of the terms used in this section, see attributes(7). InterfaceAttributeValue j0(), j0f(), j0l() Thread safetyMT-Safe j1(), j1f(), j1l() Thread safetyMT-Safe jn(), jnf(), jnl() Thread safetyMT-Safe
STANDARDSThe functions returning double conform to SVr4, 4.3BSD, POSIX.1-2001, and POSIX.1-2008. The others are nonstandard functions that also exist on the BSDs.
BUGSThere are errors of up to 2e−16 in the values returned by j0(), j1(), and jn() for values of x between −8 and 8.
SEE ALSOy0(3) 0
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