Asymptotics of Feynman integrals in the one-dimensional case
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 46-50

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The asymptotics of the Feynman integrals of the form $\mathcal{F}(t)=\int\limits_{0}^{+\infty}(P(x,t))^{-\lambda}dx$ is studied for $t\rightarrow +0$. The first term of the asymptotics is calculated in the general case and a method for obtaining a complete asymptotic expansion in the case of one essential face is presented.
@article{VMUMM_2019_4_a6,
     author = {T. Yu. Semenova},
     title = {Asymptotics of {Feynman} integrals in the one-dimensional case},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {46--50},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a6/}
}
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T. Yu. Semenova. Asymptotics of Feynman integrals in the one-dimensional case. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 46-50. http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a6/