Do problem 2 and answer is attached C) CONFORMAL MAPPINGS1.T(0) = -1.2+iT(2) = -i-2- 3i2- 3iT(2) = -iz+ i2.orT(2) = 23or T(2) = .3. 2. Find a Möbius tran sformation which maps the region |2 – i| < 2 onto the upper half plane,the imagin ary axis onto itself, and which fixes the point i.3. A Möbius tran sformation T maps the upper half plane onto itself, and the circle |z–1| = 1on to the imaginary axis such that the point 1+i maps to i. Compute T. Is T uniquelydetermined by the given con dition s? What is the imago of the line Im-

Let ψ(z)=eiαz-i2 (α∈ℝ) This is a general Moebius transformation mapping z-i<2 to the unit disc…

Answered: 2. Find a Möbius tran sformation which…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.2: Ring Homomorphisms

Problem 6E

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2. Find a Möbius tran sformation which maps the region |z -il < 2 onto the upper half plane, the imagin ary axis onto itself, and which fixes the point i.