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Composition of linear fractional transformations in terms of tail sequences

1986
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Proceedings of the American Mathematical Society
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We consider sequences {s"} of linear fractional transformations. Connected to such a sequence is another sequence {S"} of linear fractional transformations given by n -1,2,3. We introduce a new way of representing s" (in terms of so-called tail sequences). This representation is established to give nice expressions for S". It can be seen as a generalization of the canonical form for s", which gives nice expressions for (k terms)

doi:10.1090/s0002-9939-1986-0831395-5
fatcat:xgibk4f4rzefbdcek5aso5idcm