Question

Showing that two circles in w-plane tangent each other if there is a Möbius transformation that takes them to two parallel lines

score 104 · Answer 1 · 2021-12-20 10:57:52

104

Views

Showing that two circles in w-plane tangent each other if there is a Möbius transformation that takes them to two parallel lines

Published on 20 Dec 2021 - 10:57

score 237 · Answer 2 · 2021-12-21 11:03:20

237

Views

Möbius transformation with infinity in both the $w$-plane and $z$-plane.

Published on 21 Dec 2021 - 11:03

score 43 · Answer 3 · 2021-12-25 13:11:31

43

Views

Mobius transform and defining an hyperbolic angle

Published on 25 Dec 2021 - 13:11

score 52 · Answer 4 · 2021-12-28 10:56:30

52

Views

Making a Möbius transformation such that $f(3)=0$, $f(2)=1$, $f(1)=\infty$

Published on 28 Dec 2021 - 10:56

score 143 · Answer 5 · 2021-12-29 12:47:57

143

Views

Conformal map from $\Omega = \{z \in \mathbb{C} | \operatorname{Re}(z)>0\} \setminus [0,1]$ to unit disk

Published on 29 Dec 2021 - 12:47

score 146 · Answer 6 · 2022-01-03 07:49:06

146

Views

Prove the Mobius transformation is the group of all biholomorphic preserving the unit disk

Published on 03 Jan 2022 - 7:49

score 82 · Answer 7 · 2022-01-09 23:51:44

82

Views

Bounding the derivative of a holomorphic function at the origin.

Published on 09 Jan 2022 - 23:51

score 106 · Answer 8 · 2022-01-11 01:19:57

106

Views

how to obtain this mobius transformation?

Published on 11 Jan 2022 - 1:19

score 128 · Answer 9 · 2026-03-27 18:34:54

128

Views

What is the essence behind representing Möbius transformations as matrices?

Published on 27 Mar 2026 - 18:34

score 77 · Answer 10 · 2026-03-29 02:29:07

77

Views

when is this inequality feasible?

Published on 29 Mar 2026 - 2:29

score 330 · Answer 11 · 2022-01-14 11:48:03

330

Views

Any finite abelian group of Möbius transformations is either isomorphic to $C_2 \times C_2$ or is cyclic.

Published on 14 Jan 2022 - 11:48

score 50 · Answer 12 · 2026-03-25 14:47:01

50

Views

Show that any mapping from the extended complex plane to the Riemann Sphere back to the extended complex plane is a Möbius Transformation

Published on 25 Mar 2026 - 14:47

score 40 · Answer 13 · 2022-01-20 20:49:07

40

Views

Why can we assume the other endpoint of this hyperbolic line lies after $x=1$? (Anderson's Hyberbolic Geometry Prop. 3.22)

Published on 20 Jan 2022 - 20:49

score 45 · Answer 14 · 2022-01-22 23:21:44

45

Views

How to construct a Mobius group corresponding to a given fundamental triangle?

Published on 22 Jan 2022 - 23:21

score 36 · Answer 15 · 2022-01-28 18:11:01

36

Views

Möbius Transformation that moves zero

Published on 28 Jan 2022 - 18:11

List Question

Showing that two circles in w-plane tangent each other if there is a Möbius transformation that takes them to two parallel lines

Möbius transformation with infinity in both the $w$-plane and $z$-plane.

Mobius transform and defining an hyperbolic angle

Making a Möbius transformation such that $f(3)=0$, $f(2)=1$, $f(1)=\infty$

Conformal map from $\Omega = \{z \in \mathbb{C} | \operatorname{Re}(z)>0\} \setminus [0,1]$ to unit disk

Prove the Mobius transformation is the group of all biholomorphic preserving the unit disk

Bounding the derivative of a holomorphic function at the origin.

how to obtain this mobius transformation?

What is the essence behind representing Möbius transformations as matrices?

when is this inequality feasible?

Any finite abelian group of Möbius transformations is either isomorphic to $C_2 \times C_2$ or is cyclic.

Show that any mapping from the extended complex plane to the Riemann Sphere back to the extended complex plane is a Möbius Transformation

Why can we assume the other endpoint of this hyperbolic line lies after $x=1$? (Anderson's Hyberbolic Geometry Prop. 3.22)

How to construct a Mobius group corresponding to a given fundamental triangle?

Möbius Transformation that moves zero

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