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yn (3)
  • yn (3) ( FreeBSD man: Библиотечные вызовы )
  • yn (3) ( Русские man: Библиотечные вызовы )
  • >> yn (3) ( Linux man: Библиотечные вызовы )
  • yn (3) ( POSIX man: Библиотечные вызовы )
  •  

    NAME

    y0, y0f, y0l, y1, y1f, y1l, yn, ynf, ynl -
    Bessel functions of the second kind
     
    

    SYNOPSIS

    #include <math.h>
    
    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);

    Link with -lm.

    Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

    y0(), y1(), yn(): _SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE
    y0f(), y0l(), y1f(), y1l(), ynf(), ynl(): _SVID_SOURCE || _BSD_SOURCE || _XOPEN_SOURCE >= 600  

    DESCRIPTION

    The 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 VALUE

    On success, these functions return the appropriate Bessel value of the second kind for x.

    If x is a NaN, a NaN is returned.

    If x is negative, a domain error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively. (POSIX.1-2001 also allows a NaN return for this case.)

    If x is 0.0, a pole error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively.

    If the result underflows, a range error occurs, and the functions return 0.0

    If the result overflows, a range error occurs, and the functions return -HUGE_VAL, -HUGE_VALF, or -HUGE_VALL, respectively. (POSIX.1-2001 also allows a 0.0 return for this case.)  

    ERRORS

    See 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 TO

    The functions returning double conform to SVr4, 4.3BSD, POSIX.1-2001. The others are non-standard functions that also exist on the BSDs.  

    BUGS

    On a pole error, these functions set errno to EDOM, instead of ERANGE as POSIX.1-2004 requires.

    In glibc version 2.3.2 and earlier, these functions do not raise an invalid floating-point exception (FE_INVALID) when a domain error occurs.  

    SEE ALSO

    j0(3)  

    COLOPHON

    This page is part of release 3.14 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/.


     

    Index

    NAME
    SYNOPSIS
    DESCRIPTION
    RETURN VALUE
    ERRORS
    CONFORMING TO
    BUGS
    SEE ALSO
    COLOPHON


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