GACOTH

Purpose:

Generates a hyperbolic arc-cotangent series in accordance with the specified parameters.

Syntax:

GACOTH(length, spacing, factor, offset)

length	-	An integer, the length of the output series.
spacing	-	A real, the spacing (delta x) between each point on the x-axis.
factor	-	Optional. A real, the expansion factor along the x-axis. Defaults to 1.
offset	-	Optional. A real, the offset along x-axis, specified in radians. Defaults to 0.

Returns:

A series.

Example:

gacoth(100, 0.1, 2, 5)

creates a hyperbolic arc-cotangent series of 100 points spaced 0.1 x-units apart. The series is also be shifted by five units (the offset value) on the x-axis, and compressed by a factor of 2.

Remarks:

The formula used to generate each point, n, in the series is as follows: