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MR959476 30D05 (58F08 65B99)
Gill, John Compositions of analytic functions of the form $F_n(z)=F_{n-1}(f_n(z)),\;f_n(z)\to f(z)$. J. Comput. Appl. Math. 23 (1988), no. 2, 179–184.
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