Study of the Equation of Partial Waves with Rapidly Oscillating Potential
Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 288-293.

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In this paper, we consider the differential equation of partial waves $\psi''(x)+[k^2-(\lambda^2-1/4)/x^2-V(x)]\psi(x)=0$ and the corresponding integral equations. We obtain estimates for the solutions of this differential equation with boundary conditions for $x=0$ and $x=\infty$. The analitycity domains for the wave functions are established.
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Ya. T. Sultanaev; R. T. Islamova. Study of the Equation of Partial Waves with Rapidly Oscillating Potential. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 288-293. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/

[1] de Alfaro V., Redzhe T., Potentsialnoe rasseyanie, Mir, M., 1966 | Zbl

[2] Shadan K., Sabate P., Obratnye zadachi v kvantovoi teorii rasseyaniya, Mir, M., 1980 | MR

[3] Vatson G., Teoriya besselevykh funktsii, Nauka, M., 1949