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Ramanujan and the Julia Set of the Iterated Exponential Map

Ramanujan and the Julia Set of the Iterated Exponential Map

Abstract The Julia set of Ramanujan's iterated exponential map, F r+1 (z) = exp {F r (z)} -1, is investigated for positive integral r. Connection with Devaney's work on the map z r+1 = λ exp[z r ] is also made.