- #1

- 9

- 0

i am unable to draw the graphs of complex valued functions using mathematica,

please help me .

Ex:koebe function. z/(1-z)^2, z is a complex number

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Mathematica
- Thread starter raghavendar24
- Start date

- #1

- 9

- 0

i am unable to draw the graphs of complex valued functions using mathematica,

please help me .

Ex:koebe function. z/(1-z)^2, z is a complex number

- #2

- 31,312

- 8,097

- #3

- 9

- 0

Thank you.

- #4

- 31,312

- 8,097

Through[{Re, Im}[(x + I y)/(1 - (x + I y))^2]], {x, 0, 2}, {y, -1,

1}, PlotRange -> {-1, 1}]

Plot3D[Abs[(x + I y)/(1 - (x + I y))^2], {x, 0, 2}, {y, -1, 1},

ColorFunction ->

Function[{x, y},

Hue[Arg[(x + I y)/(1 - (x + I y))^2]/(2 \[Pi]) + .5]],

ColorFunctionScaling -> False]

- #5

- 9

- 0

Can you suggest me any book which is useful to plot this type of functions using mathematica

- #6

- 9

- 0

The function z/(1-z)^2 maps the unit disk |z|<1 onto the entire plane except a line segment

from (-infinity to -1/4) , how can we show that using the above function plot using mathematica.

Thanking you

- #7

- 31,312

- 8,097

I have found the online help (F1) to be quite thorough.Can you suggest me any book which is useful to plot this type of functions using mathematica

Use the parametric plot version shown above, but map the complex plane using r Exp[-I theta] instead of x + I yHi one more doubt regarding the above problem,

The function z/(1-z)^2 maps the unit disk |z|<1 onto the entire plane except a line segment

from (-infinity to -1/4) , how can we show that using the above function plot using mathematica.

- #8

- 9

- 0

I already work out at that time i have some doubt whether it is right or not, thank you now i conformed but here is a problem i m unable to interpret from the figure it mapping the unit disk

that is |z|<1 (in polar form we are using r Exp(I*theta)

r varies from 0 to 1

and theta varies from 0 to 2 pi )

to the entire XY plane except a line segment

that is |z|<1 (in polar form we are using r Exp(I*theta)

r varies from 0 to 1

and theta varies from 0 to 2 pi )

to the entire XY plane except a line segment

- #9

- 31,312

- 8,097

Yes, that looks correct.

Share: