3 citations · 6 across the 5 of their papers we have counts for
6 papers
The Apéry Numbers as a Stieltjes Moment Sequence
G. A. Edgar
The sequence of Apéry numbers is the moment sequence in the sense of Stieltjes. This is the short version of the proof. Appendix added for v.2
Fractional Iteration of Series and Transseries
G. A. Edgar
We investigate compositional iteration of fractional order for transseries. For any large positive transseries of exponentiality 0, there is a family indexed by real…
Transseries: Ratios, Grids, and Witnesses
G. A. Edgar
More remarks and questions on transseries. In particular we deal with the system of ratio sets and grids used in the grid-based formulation of transseries. This involves a "witness…
Transseries: Composition, Recursion, and Convergence
G. A. Edgar
Additional remarks and questions for transseries. In particular: properties of composition for transseries; the recursive nature of the construction of R[[[ x ]]]; modes of converg…
Transseries for beginners
G. A. Edgar
From the simplest point of view, transseries are a new kind of expansion for real-valued functions. But transseries constitute much more than that--they have a very rich (algebraic…
A fractal dimension estimate for a graph-directed IFS of non-similarities
G. A. Edgar, Jeffrey Golds
Suppose a graph-directed iterated function system consists of maps f_e with upper estimates of the form d(f_e(x),f_e(y)) <= r_e d(x,y). Then the fractal dimension of the attractor…