Index for Section 3

Alphabetical listing for B

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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 standards
  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 exceptional
  arguments:

  _________________________________________________________________
  Function		    Exceptional Argument   Routine Behavior
  _________________________________________________________________
			    None		   N/A

  j0(), j1(), jn()
			    None		   N/A

  j0f(), j1f(), jnf()

			    None		   N/A

  j0l(),j1l(), jnl()
			    x < 0		   Invalid argument

  y0(), y1(), yn()
			    x < 0		   Invalid argument

  y0f(), y1f(), ynf()
			    x < 0		   Invalid argument

  y0l(), y1l(), ynl()
			    x = 0		   Overflow

  y0(), y1(), yn()
			    x = 0		   Overflow

  y0f(), y1f(), ynf()
			    x = 0		   Overflow

  y0l(), y1l(), ynl()
  _________________________________________________________________

  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.

Index for Section 3

Alphabetical listing for B

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