Behavior of the Borel resummations for the critical exponents of then-vector model

We study the behavior of the Borel-resummed renormalization-group functions for $g{\left({\overrightarrow{\phi }}^2\right)}^2$ in three dimensions under transformations between different definitions of the renormalized coupling constant. By comparing this behavior with that of certain "explicit" functions whose exact values are known, we are able to improve the accuracy of present estimates of the critical exponents for the $n$-vector model. Our results are consistent with the assumption that the renormalization-group functions are analytic in a circle in the complex $g$ plane with a cut from the origin along the negative real axis.