Computation of the two regular super-exponentials to base exp(1/e)

DOI10.1090/S0025-5718-2012-02590-7zbMath1291.30162arXiv1105.4735MaRDI QIDQ2840008

Dmitrii Kouznetsov, Henryk Trappmann

Publication date: 17 July 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4735

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General properties of functions of one complex variable (30A99) Computational aspects of special functions (33F99) Numerical methods for functional equations (65Q20)

Related Items (2)

Tetration for complex bases ⋮ Superfunctions and sqrt of factorial

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
• Superfunctions and sqrt of factorial
• Holomorphic extension of the logistic sequence
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• Regular iteration of real and complex functions
• Zusammensetzungen ganzer Funktionen
• Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane
• Sequences Generated by Iteration
• Dynamics in One Complex Variable. (AM-160)
• Analytic Iteration

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