Spherical Hankel Function hn VI

Owning Palette: Bessel Functions VIs

Requires: Full Development System

Computes the spherical Hankel function, which is also known as the spherical Bessel function of the third kind.

Details  

 Add to the block diagram  Find on the palette
x is the input argument. If x is negative, the VI uses the absolute value of x.
n specifies the order of the spherical Hankel function.
type specifies the type of the spherical Hankel function.

0First Kind—Computes the spherical Hankel function of the first kind.
1Second Kind—Computes the spherical Hankel function of the second kind.
hn(x) returns the value of the spherical Hankel function.

Spherical Hankel Function hn Details

The following equation defines the spherical Hankel function of the first kind of order n.

The following equation defines the spherical Hankel function of the second kind of order n.

where jn is a spherical Bessel function of the first kind and yn is a spherical Bessel function of the second kind.

The following intervals for the input values of the VI define the spherical Hankel function.

For any integer value of order n, LabVIEW supports nonnegative real values of x.