Geodesic
A~method of summing nonalternating asymptotic series
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 348-360

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A method is proposed for recovering a function from its nonalternating asymptotic expansion. The method can also be applied when only a restricted number of terms of the series and the asymptotic behavior-of the coefficients of higher orders are known. The method is illustrated by the asymptotic expansion of a simple integral which simulates a functional integral in a theory with degenerate vacuum and by an anharmonic oscillator with twofold degeneracy. 
@article{TMF_1981_46_3_a8,
     author = {D. I. Kazakov},
     title = {A~method of summing nonalternating asymptotic series},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {348--360},
     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a8/}
}
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D. I. Kazakov. A~method of summing nonalternating asymptotic series. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 348-360. http://geodesic.mathdoc.fr/item/TMF_1981_46_3_a8/