j0, j0f, j0l, j1, j1f, j1l, jn, jnf, jnl - Bessel functions of the first kind
#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);
Link with
-lm.
Feature Test Macro Requirements for glibc (see
feature_test_macros(7)):
j0(),
j1(),
jn():
_XOPEN_SOURCE
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* Glibc versions <= 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 versions <= 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 |
The 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.
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)