ASECH

Purpose:

Calculates the inverse hyperbolic secant of any expression.

ASECH(val)

val

A scalar, series or table.

A scalar, series, or table.

asech(0.01..0.01..1);gridhv;griddot

$image\asechpic01.gif$

displays the inverse hyperbolic secant from 0.01 to 1.

asech(0.5)

returns 1.3169579.

asech(-2..0.1..2)

returns a 41 point complex series.

The inverse hyperbolic secant is defined as:

$image\asech01.gif$

for all complex z. The function is multi-valued and this definition places the branch cut in the complex plane at [-∞, 0] and [1, ∞].

$image\asech02.gif$

For x < 0 or x > 1, asech(x) returns a complex result.

SETDEGREE and SETRADIAN have no effect on this function because it always operates in radians.