|Y0(3)||Linux Programmer's Manual||Y0(3)|
NAMEy0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl - Bessel functions of the second kind
double y0(double x );
double y1(double x );
double yn(int n , double x );
float y0f(float x );
float y1f(float x );
float ynf(int n , float x );
long double y0l(long double x );
long double y1l(long double x );
long double ynl(int n , long double x );
Feature Test Macro Requirements for glibc (see feature_test_macros(7)):
_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
_SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE >= 600
DESCRIPTIONThe y0() and y1() functions return Bessel functions of x of the second kind of orders 0 and 1, respectively. The yn() function returns the Bessel function of x of the second kind of order n.
The value of x must be positive.
The y0f() etc. and y0l() etc. functions are versions that take and return float and long double values, respectively.
RETURN VALUEOn success, these functions return the appropriate Bessel value of the second kind for x.
ERRORSSee math_error(7) for information on how to determine whether an error has occurred when calling these functions.
The following errors can occur:
- Domain error: x is negative
- errno is set to EDOM. An invalid floating-point exception ( FE_INVALID) is raised.
- Pole error: x is 0.0
- errno is set to ERANGE (but see BUGS). No FE_DIVBYZERO exception is returned by fetestexcept(3) for this case.
- Range error: result underflow
- errno is set to ERANGE. No FE_UNDERFLOW exception is returned by fetestexcept(3) for this case.
- Range error: result overflow
- errno is not set for this case. An overflow floating-point exception ( FE_OVERFLOW) is raised.
CONFORMING TOThe functions returning double conform to SVr4, 4.3BSD, POSIX.1-2001. The others are nonstandard functions that also exist on the BSDs.
BUGSOn a pole error, these functions set errno to EDOM, instead of ERANGE as POSIX.1-2004 requires.
COLOPHONThis page is part of release 3.53 of the Linux man-pages project. A description of the project, and information about reporting bugs, can be found at http://www.kernel.org/doc/man-pages/.