y1 man page on DigitalUNIX

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bessel(3)							     bessel(3)

NAME
       bessel, j0, j1, jn, y0, y1, yn - Compute Bessel functions

SYNOPSIS
       #include <math.h>

       double j0(
	       double x ); float j0f(
	       float x ); long double j0l(
	       long double x ); double j1(
	       double x ); float j1f(
	       float x ); long double j1l(
	       long double x ); double jn(
	       int n,
	       double x ); float jnf(
	       int n,
	       float x ); long double jnl(
	       int n,
	       long double x ); double y0(
	       double x ); float y0f(
	       float x ); long double y0l(
	       long double x ); double y1(
	       double x ); float y1f(
	       float x ); long double y1l(
	       long double x ); double yn(
	       int n,
	       double x ); float ynf(
	       int n,
	       float x ); long double ynl(
	       int n,
	       long double x );

LIBRARY
       Math Library (libm)

STANDARDS
       Interfaces  documented on this reference page conform to industry stan‐
       dards as follows:

       j0():  XPG4

       j1():  XPG4

       jn():  XPG4

       y0():  XPG4

       y1():  XPG4

       yn():  XPG4

       Refer to the standards(5) reference page	 for  more  information	 about
       industry standards and associated tags.

DESCRIPTION
       The  j0(),  j0f(),  j0l(),  j1(), j1f(), and j1l() functions return the
       value of the Bessel function of the first kind of orders 0  (zero)  and
       1, respectively.

       The  jn(),  jnf(),  and	jnl() functions return the value of the Bessel
       function of the first kind of order n.

       The y0(), y0f(), y0l(), y1(), y1f(), and	 y1l()	functions  return  the
       value of the Bessel functions of the second kind of orders 0 (zero) and
       1, respectively.

       The yn(), ynf(), and ynl() functions return the	value  of  the	Bessel
       function of the second kind of order n.

       The  following  table describes function behavior in response to excep‐
       tional arguments:

       ──────────────────────────────────────────────────────────────────
       Function			 Exceptional Argument	Routine Behavior
       ──────────────────────────────────────────────────────────────────
       j0(), j1(), jn()		 None			N/A
       j0f(), j1f(), jnf()	 None			N/A
       j0l(),j1l(), jnl()	 None			N/A
       y0(), y1(), yn()		 x < 0			Invalid argument
       y0f(), y1f(), ynf()	 x < 0			Invalid argument
       y0l(), y1l(), ynl()	 x < 0			Invalid argument
       y0(), y1(), yn()		 x = 0			Overflow
       y0f(), y1f(), ynf()	 x = 0			Overflow
       y0l(), y1l(), ynl()	 x = 0			Overflow
       ──────────────────────────────────────────────────────────────────

       The j1() and jn() functions can result in an underflow as x gets small.
       The largest value of x for which this occurs is a function of n.

       The  y1() and yn() functions can result in an overflow as x gets small.
       The largest value of x for which this occurs is a function of n.

								     bessel(3)
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