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Obtaining Bounds on The Sum of Divergent Series in Physics

Rajesh R. Parwani

math-pharXiv:math-ph/0211064

Abstract

Under certain circumstances, some of which are made explicit here, one can deduce bounds on the full sum of a perturbation series of a physical quantity by using a variational Borel map on the partial series. The method is illustrated by applying it to various examples, physical and mathematical.

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