Álvarez Galindo, GabrielSilverstone, Harris J.2023-06-172023-06-172017-092399-652810.1088/2399-6528/aa8540https://hdl.handle.net/20.500.14352/18632© 2017 The Author(s). We wish to acknowledge the support of the Spanish Ministerio de Economía y Competitividad under Project No. FIS2015-63966-P and of the Department of hemistry of the Johns Hopkins University.We present a method to sum Borel- and Gevrey-summable asymptotic series by matching the series to be summed with a linear combination of asymptotic series of known functions that themselves are scaled versions of a single, appropriate, but otherwise unrestricted, function Phi. Both the scaling and linear coefficients are calculated from Pade approximants of a series transformed from the original series by Phi. We discuss in particular the case that Phi is (essentially) a confluent hypergeometric function, which includes as special cases the standard Borel-Pade and Borel-Leroy-Pade methods. A particular advantage is the mechanism to build knowledge about the summed function into the approximants, extending their accuracy and range even when only a few coefficients are available. Several examples from field theory and Rayleigh-Schrodinger perturbation theory illustrate the method.spaAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttp://dx.doi.org/10.1088/2399-6528/aa8540http://iopscience.iop.orgopen access51-73Anharmonic-Oscillator3 DimensionsModelSummabilityFísica-Modelos matemáticosFísica matemática