Abstract
The theory of automorphic functions, or Fuchsian functions as Poincaré called them, is a fruitful result of using complex function theory in the analysis of linear ordinary differential equations (ODEs). The early history of its development has been described in.
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References
J. Hadamard. Non-Euclidean Geometry in the Theory of Automorphic Functions, edited by Jeremy J. Gray and Abe Shenitzer, History of Mathematics 17. Providence: AMS, and London: London Math. Soc., 2000.
W.F. Osgood. Functions of a Complex Variable. New York: G.E. Stechert, 1938.
F. Klein. “Ueber lineare Differentialgleichungen der zweiten Ordnung.” Vorlesung, gehalten im Sommersemester 1894, ausgearbeitet von E. Ritter, Göttingen, 1894.
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Verhulst, F. (2012). Automorphic Functions. In: Henri Poincaré. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2407-9_8
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DOI: https://doi.org/10.1007/978-1-4614-2407-9_8
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