Observations on power series involving logarithmic singularities

[jaydfox]

Is there a good place to see how the Carleman matrix is defined? I googled it and found lots of references to it in journals, but nothing so accessible and definitional to the layman as a wikipedia or mathworld entry.

I've been using a matrix with the columns as the powers of the power series (with each power calculated with simple polynomial multiplication), and Henryk's E matrix is just this for the power series for e^x. So at least he and I are speaking the same thing, even if we're calling it the wrong thing. And for the factorial scaling, I've used dF, since that was Gottfried's notation (I assume the d is for diagonal).