Geodesic
On applied aspects of studing roots of dispersions equations on the other sheets of the complex plane
Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part 2, Tome 225 (1996), pp. 62-90

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Under a quontitative estimation of interference wave fields by using the methods of the theory of functions, the initial path of integration is deformed on some complex plane $(\zeta)$. As a result of such a deformation the countor $(\lambda)$ may be places on other sheets of the Riemann surface of the plane $(\zeta)$. It forces us to study integrands, in particular, a dispersion equation of the problem on the other sheets of the plane $(\zeta)$. Similar equations are discussed in the case of the problem for a layer being in contact with two elastic half-spaces. Bibl. 3 titles, ill. 9. 
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     title = {On applied aspects of studing roots of dispersions equations on the other sheets of the complex plane},
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G. I. Petrashen; B. M. Kashtan. On applied aspects of studing roots of dispersions equations on the other sheets of the complex plane. Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part 2, Tome 225 (1996), pp. 62-90. http://geodesic.mathdoc.fr/item/ZNSL_1996_225_a2/