(02/07/2021, 05:03 PM)tommy1729 Wrote: ....

Analytic continuations are perhaps not possible for your case (or my analogue) in attempt to go from Re(a) < 0 to Re(a) > 0 or vice versa.

In fact there is a huge gap in my understanding about continuations for infinite compositions. Or Riemann surfaces of infinite compositions.

But I think a natural boundary occurs for Re(a) = 0 in both our cases.

....

tommy1729

Yes, I'd have to agree with you as it being a natural boundary. When we flip to all we get is the equation,

From,