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

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