Geodesic
Corrections to the asymptotic expressions for the higher orders of perturbation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 363-372

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A technique is developed for calculating the corrections in $1/n$ to the asymptotic expression for the $n$-th term of the perturbation series for the example of the scalar massless model $\varphi_{(4)}^4$ with internal symmetry $O(N)$. The first correction for the $\beta$ function is obtained. 
@article{TMF_1983_57_3_a3,
     author = {Yu. A. Kubyshin},
     title = {Corrections to the asymptotic expressions for the higher orders of perturbation theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {363--372},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a3/}
}
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Yu. A. Kubyshin. Corrections to the asymptotic expressions for the higher orders of perturbation theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 363-372. http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a3/