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A method for the resummation of a nonalternating divergent perturbation series is described. The procedure constitutes a generalization of the Borel-Pad\'e method. Of crucial importance is a special integration contour in the complex plane. Nonperturbative imaginary contributions can be inferred from the purely real perturbative coefficients. A connection is drawn from the quantum field theoretic problem of resummation to divergent perturbative expansions in other areas of physics.
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Ulrich D. Jentschura (2000) studied this question.
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