Tetration for complex bases

DOI10.1007/S10444-018-9615-7zbMath1417.39074OpenAlexW2806319448MaRDI QIDQ2631986

William H. Paulsen

Publication date: 16 May 2019

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

Full work available at URL: https://doi.org/10.1007/s10444-018-9615-7

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) Iteration of real functions in one variable (26A18)

Uses Software

• Algorithm 917

Cites Work

• Solving \(F(z+1)=b^{F(z)}\) in the complex plane
• Computation of the two regular super-exponentials to base exp(1/e)
• Algorithm 917
• Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane
• Portrait of the four regular super-exponentials to base sqrt(2)
• Unnamed Item

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