Insights and Fill-ins

Alessandro Rosa ()

Chapter 19 in The Origins of Holomorphic Dynamics, 2026, pp 303-326 from Springer

Abstract: Abstract 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.

Date: 2026
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DOI: 10.1007/978-3-032-17106-1_19

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