Uploaded February 2023 | Updated September 2026, 2 weeks ago
Today, we show that all conformable automorphisms of the extended complex plane are the Mobius transformations.
Conformal Automorphisms of C + order of polynomial = order of pole at infinity:
youtube.com/watch?v=SZXDKiZltCI
Casorati-Weierstrass Theorem:
youtube.com/watch?v=hzZOR-8ETyA
Today, we show that all conformable automorphisms of the extended complex plane are the Mobius transformations.
Conformal Automorphisms of C + order of polynomial = order of pole at infinity:
youtube.com/watch?v=SZXDKiZltCI
Casorati-Weierstrass Theorem:
youtube.com/watch?v=hzZOR-8ETyA

![2021 Methods Exam 1 Solutions
Website: https://qncubed3.wixsite.com/maths/casprograms
Note: At 50:20, we should exclude q=0 since that was the domain given in the question. Hence our set of values should be [-1,0)U(0,1]. 2021 Methods Exam 1 Solutions](https://i.ytimg.com/vi/umnsQYsBu_Q/mqdefault.jpg)




