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J0(3) Linux Programmer's Manual J0(3)


     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():
             || /* 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 ver-
     sions 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
     allbox; lb lb lb l l  l.   Interface Attribute Value  T{  j0(),  j0f(),
     j0l()  T}   Thread  safety  MT-Safe  T{  j1(), j1f(), j1l() T}   Thread
     safety  MT-Safe T{ jn(), jnf(), jnl() T}   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.




     This  page  is  part of release 4.16 of the Linux man-pages project.  A
     description of the project, information about reporting bugs,  and  the
     latest     version     of     this    page,    can    be    found    at
                                2017-09-15                             J0(3)
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