06/21/2010, 09:14 PM
(06/09/2010, 12:18 PM)tommy1729 Wrote: \( \operatorname{TommySexp_e}(z,x)= \lim_{n \to \infty } \ln^{[n]} (\2sinh^{[z]}(exp^{[n]}(x))) \)
regards
tommy1729
as for the ROC i assume a plot for increasing n says more than a thousand words.
plot n = 1 -> 100. z = 1/2
\( \ln^{[n]} (\2sinh^{[z]}(exp^{[n]}(x))) \)
---
basicly if the n'th derivate has no pole i guess they are all holomorphic for x > 0.

