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Conjugation of Rational Functions to Power Functions and Applications to Iteration

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In this paper we investigate normalization of rational functions, reducing in the sense of conjugation to monomials or more general power functions. We give conditions for the normalization by computing… Click to show full abstract

In this paper we investigate normalization of rational functions, reducing in the sense of conjugation to monomials or more general power functions. We give conditions for the normalization by computing minimal irreducible decomposition of algebraic varieties. We use those conditions to compute the general n-th order iterates and iterative roots for those rational functions.

Keywords: power functions; functions power; rational functions; functions applications; conjugation rational

Journal Title: Results in Mathematics
Year Published: 2018

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