HPlogo HP-UX Reference > Y

y0(3M)

HP-UX 11i Version 2: December 2007 Update
» 

Technical documentation

 » Table of Contents

 » Index

NAME

y0(), y0f(), y0l(), y0w(), y0q(), y1(), y1f(), y1l(), y1w(), y1q(), yn(), ynf(), ynl(), ynw(), ynq() — Bessel functions of the second kind

SYNOPSIS

#include <math.h>

double y0(double x);

double y1(double x);

double yn(int n, double x);

HP Integrity Server Only

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);

extended y0w(extended x);

extended y1w(extended x);

extended ynw(int n, extended x);

quad y0q(quad x);

quad y1q(quad x);

quad ynq(int n, quad x);

DESCRIPTION

y0() and y1() return Bessel functions of x of the second kind of orders 0 and 1 respectively. yn() returns the Bessel function of x of the second kind of order n.

y0f(), y1f(), and ynf() are float versions of y0(), y1(), snd yn(); each takes a float argument x and returns a float result.

y0l(), y1l(), and ynl() are long double versions of y0(), y1(), and yn(); each takes a long double arguement x and returns a long double result.

y0w(), y1w(), and ynw() are extended version of y0(), y1(), and yn(); each takes an extended argument x and resturns an extended result.

y0q(), y1q(), and ynq() are quad version of y0(), y1(), and yn(); each takes a quad argument x and returns a quad result.

USAGE

To use these functions, compile either with the default -Ae option or with the -Aa and -D_HPUX_SOURCE options. Make sure your program includes <math.h>. Link in the math library by specifying -lm on the compiler or linker command line.

To use (for Integrity servers) y0w(), y1w(), ynw(), y0q(), y1q(), or ynq(), compile also with the -fpwidetypes option.

RETURN VALUE

If x is negative or zero, y0(), y1(), and yn() return -HUGE_VAL (equal to -INFINITY).

If x is NaN, y0(), y1(), and yn() return NaN.

If the correct result would overflow, y0(), y1(), and yn() return -HUGE_VAL.

ERRORS

No errors are defined.

SEE ALSO

j0(3M), math(5).

Handbook of Mathematical Functions, M. Abramowitz and I. Stegun, (New York: Dover Publications, 1972).

STANDARDS CONFORMANCE

y0(): SVID3, XPG4.2

y1(): SVID3, XPG4.2

yn(): SVID3, XPG4.2