Contributions to complex analysis

Alessandro Rosa ()

Chapter 20 in The Origins of Holomorphic Dynamics, 2026, pp 327-353 from Springer

Abstract: Abstract In this chapter,we will illustrate some of the mutual benefits that complex analysis and holomorphic dynamics offered each other. Analysis initially served as a repository of theorems for the development of dynamics, until discoveries about iterated orbits improved the classification of functions. Fatou and Julia’s results on holomorphic dynamics provided a definitive guidance for clearly understanding otherwise obscure questions on the approximation of solutions of equations of arbitrary degree and the distribution of their zeros.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-17106-1_20

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DOI: 10.1007/978-3-032-17106-1_20

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