Transseries: Composition, Recursion, and Convergence
Rings and Algebras
2009-09-08 v1 Classical Analysis and ODEs
History and Overview
Abstract
Additional remarks and questions for transseries. In particular: properties of composition for transseries; the recursive nature of the construction of R[[[ x ]]]; modes of convergence for transseries. There are, at this stage, questions and missing proofs in the development.
Cite
@article{arxiv.0909.1259,
title = {Transseries: Composition, Recursion, and Convergence},
author = {G. A. Edgar},
journal= {arXiv preprint arXiv:0909.1259},
year = {2009}
}
Comments
36 pages, 1 figure