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Full Version: Transc entire = exp a + exp b + exp c
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A transcendental entire function F(z) is always of the form exp a + exp b + exp c.

Where a,b,c are entire.

Assume F - z is of the form z exp d with d entire.
Also F has a hyperbolic fixpoint at 0.
( yes that implies the previous sent )

Does this imply An analytic F^[1/2](z) without algebraic singularities is of the form g('a) + g('b) + g('c) with g = exp^[1/2] and 'a,'b,'c entire ?