A method of summing nonalternating asymptotic series

D. I. Kazakov

Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 3, pp. 348-360

Résumé

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.

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