conjecture 0 tommy1729 Ultimate Fellow Posts: 1,742 Threads: 382 Joined: Feb 2009 02/18/2009, 12:32 AM any convex C oo solution for f(f(x)) = exp(x) is also an analytic solution for f(f(x)) = exp(x) andydude Long Time Fellow Posts: 510 Threads: 44 Joined: Aug 2007 02/18/2009, 05:23 AM I suppose by "convex" you imply that the function is defined over the reals, and I suppose by "analytic" you mean real analytic. Is there an equivalent to "convex" for functions of a complex variable? Is this similar to requiring that a complex function be bounded over a strip of the complex plane? Andrew Robbins tommy1729 Ultimate Fellow Posts: 1,742 Threads: 382 Joined: Feb 2009 02/18/2009, 04:14 PM andydude Wrote:I suppose by "convex" you imply that the function is defined over the reals, and I suppose by "analytic" you mean real analytic. Is there an equivalent to "convex" for functions of a complex variable? Is this similar to requiring that a complex function be bounded over a strip of the complex plane? Andrew Robbins i do mean f(x) maps R to R yes. though convex is more than that of course. i assume " analytic " is false because of the fixpoint exp(x) = x ? real analytic makes a weaker conjecture ... and more likely to be true perhaps. as for your questions about 'convex for complex' i have no idea. regards tommy1729 « Next Oldest | Next Newest »

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