Geodesic
Asymptotics of the Jost-function for the two-dimensional Schr\"odinger operator
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 96-103

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The article concerns asymptotics of the Jost function $\chi(z,\lambda)$ for the two-dimensional Schrödinger operator for the arbitrary $\lambda\in\mathbb{C}$ and $z/|z|\in S^1$ when $|z|\to\infty$ and a relation with the inverse scattering problem. 
@article{ZNSL_1988_173_a7,
     author = {A. P. Katchalov and Ya. V. Kurylev},
     title = {Asymptotics of the {Jost-function} for the two-dimensional {Schr\"odinger} operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {96--103},
     publisher = {mathdoc},
     volume = {173},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a7/}
}
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A. P. Katchalov; Ya. V. Kurylev. Asymptotics of the Jost-function for the two-dimensional Schr\"odinger operator. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 96-103. http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a7/