On the solutions of an Abelian functional equation

DOI10.1016/0022-247X(91)90029-YzbMath0716.39006MaRDI QIDQ753042

Peter L. Walker

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

analytic solutionsAbel equationiterations

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)

Related Items (6)

Solving \(F(z+1)=b^{F(z)}\) in the complex plane ⋮ Uniqueness of holomorphic Abel functions at a complex fixed point pair ⋮ Infinitely Differentiable Generalized Logarithmic and Exponential Functions ⋮ FINDING THE NATURAL SOLUTION TO f(f(x)) = exp(x) ⋮ Computation of the two regular super-exponentials to base exp(1/e) ⋮ Abel's functional equation and eigenvalues of composition operators on spaces of real analytic functions

Cites Work

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• Dynamics of exp (z)
• Beyond Floating Point

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