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The goals of the three theories of infinite sums in one complex variable, single-valued and analytic functions, and holomorphic dynamics came together in the Grand Prix edition of 1915-1918. This approach to iteration can be seen as a brilliant example of the interaction between sequences of functions and their singular points: periodic, maxima, minima, exceptional, and discontinuities.

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Insights and Fill-ins

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  • 发表日期：

    2026年

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  • Alessandro Rosa

摘要

The goals of the three theories of infinite sums in one complex variable, single-valued and analytic functions, and holomorphic dynamics came together in the Grand Prix edition of 1915-1918. This approach to iteration can be seen as a brilliant example of the interaction between sequences of functions and their singular points: periodic, maxima, minima, exceptional, and discontinuities.