y1

Bessel Function of the Second Kind, Order 1

Portability: UNIX compatible

SYNOPSIS
DESCRIPTION
RETURN VALUE
DIAGNOSTICS
EXAMPLE
RELATED FUNCTIONS
SEE ALSO

SYNOPSIS

#include <lcmath.h>

double y1(double x);

DESCRIPTION

y1 computes the order 1 Bessel function of the second kind of the value x .

RETURN VALUE

y1 returns the order 1 Bessel function of the second kind of the argument x , provided that this value is computable.

DIAGNOSTICS

If the value of x is 0.0, a diagnostic message is written to the standard error file ( stderr ) and the function returns -HUGE_VAL , the largest negative floating-point number that can be represented.

If the magnitude of x is too large (|x| > = 6.7465e9), y1 returns 0.0. In this case, the message "total loss of significance" is written to stderr .

If the magnitude of x is too close to 0 (|x| < approximately 8.032e-77), an overflow error occurs during computation of y1 . In this case, a diagnostic message is written to stderr , and y1 returns -HUGE_VAL .

If an error occurs in y1 , the _matherr routine is called. You can supply your own version of _matherr to suppress the diagnostic message or modify the value returned.

EXAMPLE

This example computes the Bessel function of the second kind, of order 1 at x = 5:

#include <stdio.h>
#include <lcmath.h>

main()
{
   double y;
   y = y1(5.);
   printf("y1(5.) = %lf\n", y);
}

RELATED FUNCTIONS

j0 , j1 , jn , _matherr , y0 , yn

SEE ALSO

Mathematical Functions

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