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The Exponential of Iteration of e x - 1

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Publication:3492102
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DOI10.2307/2047901zbMath0709.39007OpenAlexW4240646010MaRDI QIDQ3492102

Peter L. Walker

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047901


zbMATH Keywords

zerosAbel equationasymptotic valuesentire nonconstant solution


Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12)


Related Items (6)

Distributions derived from the continuous iteration of the hyperbolic sine function ⋮ Solving \(F(z+1)=b^{F(z)}\) in the complex plane ⋮ A new class of distributions on the whole real line based on the continuous iteration approach ⋮ Infinitely Differentiable Generalized Logarithmic and Exponential Functions ⋮ FINDING THE NATURAL SOLUTION TO f(f(x)) = exp(x) ⋮ Abel's functional equation and eigenvalues of composition operators on spaces of real analytic functions







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