02/17/2013, 01:27 PM
Hi,
I was reading the article and found that the author describes a method to extend the tetration to reals. It uses the recursive relation and the differentiability requirement but a piecewise argument, hence not following the continuity requirement(?). It was a nice method, I am thinking about using it in practice. But I wonder if there are any way to extend the a^^x to complex values of a and x. Do we already have such analytic continuation? I am mainly interested in the recursion and differentiability requirement.
Balarka
.
I was reading the article and found that the author describes a method to extend the tetration to reals. It uses the recursive relation and the differentiability requirement but a piecewise argument, hence not following the continuity requirement(?). It was a nice method, I am thinking about using it in practice. But I wonder if there are any way to extend the a^^x to complex values of a and x. Do we already have such analytic continuation? I am mainly interested in the recursion and differentiability requirement.
Balarka
.
