Solving \(F(z+1)=b^{F(z)}\) in the complex plane

DOI10.1007/s10444-017-9524-1zbMath1387.30030OpenAlexW2592112798WikidataQ56287577 ScholiaQ56287577MaRDI QIDQ1693581

Samuel Cowgill, William H. Paulsen

Publication date: 31 January 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9524-1

zbMATH Keywords

iterationAbel's functional equationtetration

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)

Related Items (1)

Tetration for complex bases

Cites Work

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• Uniqueness of holomorphic Abel functions at a complex fixed point pair
• On the solutions of an Abelian functional equation
• Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane
• The Exponential of Iteration of e x - 1
• Portrait of the four regular super-exponentials to base sqrt(2)
• Infinitely Differentiable Generalized Logarithmic and Exponential Functions
• FINDING THE NATURAL SOLUTION TO f(f(x)) = exp(x)
• Analytic Iteration

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