GATANH

Purpose:

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

Syntax:

GATANH(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.
frequency	-	Optional. A real, the frequency specified in radians. Defaults to 1.
phase	-	Optional. A real, the phase specified in radians. Defaults to 0.

Returns:

A series.

Example:

gatanh(100, 0.1, 2, 1)

creates a hyperbolic arc-tangent series of 100 points spaced 0.1 x-units apart. The series is also be shifted by one unit (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: