When Does f -1 = 1/f?

DOI10.2307/2588987zbMath0920.26008OpenAlexW2051478054MaRDI QIDQ4222419

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Publication date: 31 August 1999

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2588987

zbMATH Keywords

continuous solutionsfunctional equationsholomorphic solutionsiterative square-root

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)

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On a functional equation involving iterates and powers ⋮ A Grassmann integral equation ⋮ Iterative roots with circuits for piecewise continuous and globally periodic maps ⋮ Inverse ambiguous functions on fields ⋮ Inverse ambiguous functions and automorphisms on finite groups ⋮ Around a problem of Nicole Brillouët-Belluot ⋮ Meromorphic iterative roots of linear fractional functions

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