Gevrey Property of Formal Solutions in a Parameter

Abstract

Let s be a nonnegative real number. A formal power series Σ m≥0 a m (x) ϵ m is said to be of Gevrey order s uniformly on D if there exist two nonnegative numbers C 0 and C 1 such that ( 1.1 ) | a m ( x ) | ≤ C 0 ( m! ) s C 1 m https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072584/26f9c9ec-094d-4ec5-9212-4e65d94f7e97/content/eq1927.tif"/>

Topics & Concepts