J0(3) BSD Programmer's Manual J0(3)[top]NAMEj0, j0f, j1, j1f, jn, jnf, y0, y0f, y1, y1f, yn, ynf - Bessel functions of first and second kindSYNOPSIS#include <math.h> double j0(double x); float j0f(float x); double j1(double x); float j1f(float x); double jn(int n, double x); float jnf(int n, float x); double y0(double x); float y0f(float x); double y1(double x); float y1f(float x); double yn(int n, double x); float ynf(int n, float x);DESCRIPTIONThe functions j0(), j0f(), j1() and j1f() compute the Bessel function of the first kind of the order 0 and the order 1, respectively, for the real value x; the functions jn() and jnf() compute the Bessel function of the first kind of the integer order n for the real value x. The functions y0(), y0f(), y1(), and y1f() compute the linearly indepen- dent Bessel function of the second kind of the order 0 and the order 1, respectively, for the positive real value x; the functions yn() and ynf() compute the Bessel function of the second kind for the integer order n for the positive real value x.ERRORSFor y0(), y0f(), y1(), y1f(), yn(), or ynf(), if x <= 0 then: _IEEE_ The return value isif x = 0, or NaN if x < 0. _POSIX_ The return value is-Inf, and errno is set to EDOM. _XOPEN_ Same as _POSIX_, but errno is only set if matherr(3) returns 0. The exception type is DOMAIN. _SVID_ Same as _XOPEN_, but the return value is-Inf, and a mes- sage is printed to stderr if errno is set. If the magnitude of x would lead to a result with a total loss of signif- icance, then: _IEEE_ The return value is 0. _POSIX_ Same as _IEEE_, but errno is also set to ERANGE. _XOPEN_ Same as _POSIX_, but errno is only set if matherr(3) returns 0. The exception type is TLOSS. _SVID_ Same as _XOPEN_, and a message is printed to stderr if errno is set.-MAXFLOATSEE ALSOmath(3)HISTORYThis set of functions appeared in Version 7 AT&T UNIX.4th Berkeley Distribution February 17, 1998 2

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