Table 1: Closed Form Expressions For nth Iterates of (az+b)/(cz+d)
Case 1: ad = bc, c 0
Case 2: c = 0, a = d 0
Case 3: c = 0, a d
Case 4: c 0, (a-d)2 = -4bc
Case 5: c 0, (a-d)2 -4bc
where
and
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Table 1: Closed Form Expressions For nth Iterates of (az+b)/(cz+d) |
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Case 1: ad = bc, c 0 |
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Case 2: c = 0, a = d 0 |
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Case 3: c = 0, a d |
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Case 4: c 0, (a-d)2 = -4bc |
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Case 5: c 0, (a-d)2 -4bc |
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where |
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and |
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