Question

16. Let M be the Möbius transform with M(0) = 1 M(1) = 2 and M(0) = 0. Find M(i). Solution: For M(z) = azt to have these properties, we must have a = 0 and b = d = 1, without loss of generality. Then the second equations gives -1 2 M(1) = = 2 hence M(2) 2 - 2 + 2 CE 9 C+1 in particular M(i) 2 2 - 4 + 2i 5

can some one solve it step by step please

Answer 1

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