Julia's equation and differential transcendence
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math.CA
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differentiallyentireiterativelogarithmringtranscendentalconvergentcriterion
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We show that the iterative logarithm of each non-linear entire function is differentially transcendental over the ring of entire functions, and we give a sufficient criterion for such an iterative logarithm to be differentially transcendental over the ring of convergent power series.
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