Adele Padgett

collaborators

2 papers

math.LO2025

Definability of complex functions in o-minimal structures

Adele Padgett, Patrick Speissegger

We prove that some holomorphic continuations of functions in the classes $an^{*}$ and $G$ are definable in the o-minimal structures $R_{an^{*}}$ an…

math.LO2022

Sublogarithmic-transexponential series

Adele Padgett

We adapt the construction of the field of logarithmic-exponential transseries of van den Dries, Macintyre, and Marker to build an ordered differential field of sublogarithmic-trans…