Complex Elementary (Transcendental) Functions: f(z) = 1/z

The behavior of elementary transcendental functions, with a real
argument (x), are well known (or should be) to every science student
and researcher. However, this is not the case for the same functions
with a complex argument (z = x+iy; x,y real).

Having developed the appropriate software, mathematical functions
in the complex plane can be presented in an esthetically pleasing
format. For educational purposes (only!), the high-resolution image
of
f(z) = 1/z, z = x+iy, -1<= x <= +1, -1<= y <=+1

may be viewed and downloaded at

http://www.iging.com/Transcendental/...xTF%5C1oZF.jpg

Enjoy.

D. Baruth
X87(at)iging(dot)com

On Oct 28, 1:21 am, Dan <[Only registered users see links. ]> wrote:

Hi, Dan:

I can understand the value of a graphical display of
complex functions, but to be picky about terminology,
rational function f(z) = 1/z is not transcendental.

regards, chip

On Oct 29, 6:36 am, Chip Eastham <[Only registered users see links. ]> wrote:

True. If you look at the subject line you'll notice that
"transcendeltal" is set in parantesis. I just wanted to
show this simple, but interesting, example. For other
"real" elementary transcendentals look at:

[Only registered users see links. ]

Thanks, Dan.

On Oct 28, 1:21 am, Dan <[Only registered users see links. ]> wrote:

Nice study.
Have you seen
[Only registered users see links. ]
?
- Tim