On some applications of the generalized hyper-Lambert functions

DOI10.1080/17476930701589563zbMath1151.30019OpenAlexW2002578762MaRDI QIDQ5448719

I. N. Galidakis

Publication date: 7 March 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701589563

zbMATH Keywords

exact solutionfixed pointordinary differential equationKepler's equationtranscendental equationtetrationinfinite exponentialLambert's \(W\) function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (4)

Spectral representations and global maps of cellular automata dynamics ⋮ All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells ⋮ Decomposition of sum in recurrent formula for exponents of the inverse chain exponential ⋮ On the derivation of a closed-form expression for the solutions of a subclass of generalized Abel differential equations

Uses Software

• Maple
• Mathematica

Cites Work

• On the Lambert \(w\) function
• A Note on Complex Iteration
• Exponentials Reiterated
• Periodic points of entire functions: proof of a conjecture of Baker
• On an application of Lambert'sWfunction to infinite exponentials
• On solving the p-th complex auxiliary equation f ^(p)(z) = z

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