Abstract
Gabriel Koenigs was the dominant figure in the nineteenth century study of the iteration of complex functions. Drawing on the papers of Schröder, Korkine and Farkas, Koenigs turned the study of the iteration of complex functions into a coherent and rigorously established body of work. His influence on the study of iteration continued throughout the 1890’s. Not only did two of his students, Leopold Leau and Auguste Grévy (1865–1930) each examine a special case which he did not treat, but his work also stimulated papers by Paul Appell (1855–1930), Ernest Lémeray (1860-?) and others. In this chapter I treat Koenigs’ own work. In the next two, I discuss the responses to his work.
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© 1994 Springer Fachmedien Wiesbaden
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Alexander, D.S. (1994). Gabriel Koenigs. In: A History of Complex Dynamics. Aspects of Mathematics, vol 24. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09197-4_3
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DOI: https://doi.org/10.1007/978-3-663-09197-4_3
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-09199-8
Online ISBN: 978-3-663-09197-4
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