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 Look-alike functions. tommy1729 Ultimate Fellow Posts: 1,493 Threads: 356 Joined: Feb 2009 03/07/2016, 09:22 PM Consider the argument of An entire function within a unit radius. If they are identical for 2 distinct entire function with that radius we call them " look-alike ". For instance 2sinh(z+3) and exp(z+3) are look-alikes. You might have noticed that all look-alikes to the above satisfy F ' ' (z) = F(z). So yes this relates to differential equations. I think cauchy-riemann matters. This is probably isomorphic to something well understood. Regards Tommy1729 hixidom Junior Fellow Posts: 20 Threads: 3 Joined: Feb 2014 03/08/2016, 07:10 PM sinh(t) is defined in terms of exp(t). Why is it notable that they are similar sometimes? « Next Oldest | Next Newest »

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