On solving the p-th complex auxiliary equation f (p)(z) = z

DOI10.1080/02781070500156827zbMath1188.30030OpenAlexW2079820762MaRDI QIDQ5719139

I. N. Galidakis

Publication date: 17 January 2006

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500156827

zbMATH Keywords

Fixed pointPeriodic pointEntire functionLambert's W functionAuxiliary equationInfinite exponentialTranscendental equation

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Power series (including lacunary series) in one complex variable (30B10) Entire functions of one complex variable (general theory) (30D20) Representations of entire functions of one complex variable by series and integrals (30D10) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Exponential and trigonometric functions (33B10)

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