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Conservation of functional equation ? - tommy1729 - 05/01/2015
Let f(x+1) = g(f(x)). With g real-entire. What if the ROC around the point x is less than 1 , say 1/4 ? Suppose we can get to the point x+1 by analytic continuation. Does the equation still hold there ? In case of "depends" , on what exactly does it depend ? What are the classical examples of succes and failure ? Regards Tommy1729 |