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 Transc entire = exp a + exp b + exp c tommy1729 Ultimate Fellow Posts: 1,491 Threads: 355 Joined: Feb 2009 07/15/2015, 07:37 AM 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 ? Regards Tommy1729 « Next Oldest | Next Newest »

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