Question

Describe the image of the circle |z − 3| = 1 under the Mobius transformation w...

Describe the image of the circle |z − 3| = 1 under the Mobius transformation w = f(z) = (z − i)/(z − 4).

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f be a Mobius transformation such that f(1)=∞ and f maps the imaginary axis onto...
Let f be a Mobius transformation such that f(1)=∞ and f maps the imaginary axis onto the unit circle |w| = 1. What is the value of f (−1)?
The circle IZI = 2 is mapped onto the w plane by the transformation w =...
The circle IZI = 2 is mapped onto the w plane by the transformation w = (z+j)/(2z-j) Determine (a) The image of the circle in the w plane (b) The mapping of the region enclosed by IZI =2
Is it possible for an entire function w=f(z) to map the z-plane into the circle |w|<1?...
Is it possible for an entire function w=f(z) to map the z-plane into the circle |w|<1? Fully justify your explanation.
1.Using only the definition of uniform continuity of a function, show that f(z) = z^2 is...
1.Using only the definition of uniform continuity of a function, show that f(z) = z^2 is uniformly continuous on the disk {z : |z| < 2}. 2. Describe the image of the circle |z-3| = 1 under the mapping w = f(z) = 5-2z. Be sure to show that your description is correct. Please show full explaination.
Complex Analysis 2. Find the linear transformation which carries the circle |z| = 2 into |z...
Complex Analysis 2. Find the linear transformation which carries the circle |z| = 2 into |z + 1| = 1, the point −2i into the origin, and the point i into −1.
w = f(z) = z2. S = {z: Im(z) = b} . Find the image f(S)....
w = f(z) = z2. S = {z: Im(z) = b} . Find the image f(S). Draw a picture and explain what’s happening. Note that x = a and y = b intersect in one point, but their images under f(z) = z2 intersect in 2 points. How is this possible? Can you show that the images intersect perpendicularly?
Find Mobius transformations mapping {z : Im(z) > 0} onto D(0; 1) and mapping imaginary axis...
Find Mobius transformations mapping {z : Im(z) > 0} onto D(0; 1) and mapping imaginary axis onto real axis: f(z) = (az+b)/(cz+d)
If z=4e^(i pi/4) and w=3e^(i pi/3) find a) zw b) z/w c) z^3 d) The complex...
If z=4e^(i pi/4) and w=3e^(i pi/3) find a) zw b) z/w c) z^3 d) The complex fourth root of w
Complex Variables: (a) Describe all complex numbers 'z' such that e^z = 1. (b) Let 'w'...
Complex Variables: (a) Describe all complex numbers 'z' such that e^z = 1. (b) Let 'w' be a complex number. Let 'a' be a complex number such that e^a = w. Describe all complex numbers 'z' such that e^z = w.
7. Transformations. (1) Find a Mo ̈bius transformation that maps the open half-disk S = {z...
7. Transformations. (1) Find a Mo ̈bius transformation that maps the open half-disk S = {z : |z| < 1, Im z > 0} to a quadrant. (2) Find a 1 − 1 conformal mapping of the quadrant to the upper half-plane. (3) Find a M ̈obius transformation mapping the upper half-plane to the unit disk D = {z : |z| < 1}. (4) Compose these to give a 1 − 1 conformal map of the half-disk to the unit...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT