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MR838099 (87g:30026) 30D05 (30D45)
Chuang, Chi Tai A simple proof of a theorem of Fatou on the iteration and fix-points of transcendental entire functions. Analytic functions of one complex variable, 65–69, Contemp. Math., 48, Amer. Math. Soc., Providence, RI, 1985.
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