Question

Need help with $\frac{w-a}{1-\overline{a}w} = \mu\frac{z-a}{1-\overline{a}z}$

score 47 · Answer 1 · 2026-03-12 22:11:43

47

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Need help with $\frac{w-a}{1-\overline{a}w} = \mu\frac{z-a}{1-\overline{a}z}$

Published on 12 Mar 2026 - 22:11

score 1.3k · Answer 2 · 2026-03-12 22:09:17

1.3k

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Mobius transformation that maps the upper half plane conformally onto the open unit disc.

Published on 12 Mar 2026 - 22:09

score 224 · Answer 3 · 2026-03-12 20:07:00

224

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Find a Mobius transformation that maps the unit-disk onto unit-disk: $1\to1$ and $1+i\to \infty$

Published on 12 Mar 2026 - 20:07

score 504 · Answer 4 · 2026-03-13 09:00:30

504

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Find a conformal map 2

Published on 13 Mar 2026 - 9:00

score 489 · Answer 5 · 2026-03-13 14:07:03

489

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A Möbius map from the unit disc onto itself

Published on 13 Mar 2026 - 14:07

score 2.9k · Answer 6 · 2026-03-13 14:21:49

2.9k

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Finding Mobius transformations that maps one set to another

Published on 13 Mar 2026 - 14:21

score 2.5k · Answer 7 · 2026-03-13 15:03:06

2.5k

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Suppose $f$ holomorphic and its image is a subset of the unit circle. Then show f is constant.

Published on 13 Mar 2026 - 15:03

score 516 · Answer 8 · 2026-03-13 08:33:01

516

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Prove this Möbius function maps unit disc to itself bijectively.

Published on 13 Mar 2026 - 8:33

score 304 · Answer 9 · 2026-03-12 22:03:46

304

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Why is $w$ real if z is on the circle through $z_1,z_2,z_3$?

Published on 12 Mar 2026 - 22:03

score 425 · Answer 10 · 2026-03-13 15:04:06

425

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Transform circle to $\mathbb R$: Will any 3 distinct points on the circle work?

Published on 13 Mar 2026 - 15:04

score 479 · Answer 11 · 2026-03-13 01:24:21

479

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Fractional Linear Transformation

Published on 13 Mar 2026 - 1:24

score 1.5k · Answer 12 · 2026-03-13 09:44:14

1.5k

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How to find transformation from the upper half plane into the right half plane?

Published on 13 Mar 2026 - 9:44

score 133 · Answer 13 · 2026-03-13 07:58:26

133

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Map from the upper half plane to a circle $\vert w-w_0\vert<R$ such that $T'(u_0+v_0i)>0$ and $T(i)=u_0+iv_0$

Published on 13 Mar 2026 - 7:58

score 2.5k · Answer 14 · 2026-03-13 10:25:13

2.5k

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From the unit disk to the right half plane and $T(0)=3$

Published on 13 Mar 2026 - 10:25

score 96 · Answer 15 · 2026-03-13 07:33:45

96

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Evaluate the image of complex function

Published on 13 Mar 2026 - 7:33

List Question

Need help with $\frac{w-a}{1-\overline{a}w} = \mu\frac{z-a}{1-\overline{a}z}$

Mobius transformation that maps the upper half plane conformally onto the open unit disc.

Find a Mobius transformation that maps the unit-disk onto unit-disk: $1\to1$ and $1+i\to \infty$

Find a conformal map 2

A Möbius map from the unit disc onto itself

Finding Mobius transformations that maps one set to another

Suppose $f$ holomorphic and its image is a subset of the unit circle. Then show f is constant.

Prove this Möbius function maps unit disc to itself bijectively.

Why is $w$ real if z is on the circle through $z_1,z_2,z_3$?

Transform circle to $\mathbb R$: Will any 3 distinct points on the circle work?

Fractional Linear Transformation

How to find transformation from the upper half plane into the right half plane?

Map from the upper half plane to a circle $\vert w-w_0\vert<R$ such that $T'(u_0+v_0i)>0$ and $T(i)=u_0+iv_0$

From the unit disk to the right half plane and $T(0)=3$

Evaluate the image of complex function

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