Special functions of generalized complex variables in problems of diffraction of elastic shear waves in anisotropic media

Integration of the equations of planar and flexural vibrations of anisotropic plates in special functions of generalized complex variables

“…(1), as in [1], we apply a method formally realizable as the methbd of successive approximations. (1), as in [1], we apply a method formally realizable as the methbd of successive approximations.…”

“…The author [1] has constructed special functions of generalized complex variables forming basic systems of particular solutions of the equations of longitudinal shear vibrations in anisotropic elastic bodies of monocline class. In the present paper the approach used in [1] and also in [2] and [3] is generalized to problems of integrating the equations of planar and fiexural vibrations for anisotropic multicormected thin plates that are bounded in the plane and have a plane of symmetry of elastic properties parallel to the middle plane.…”

“…(1).In the following construction of a basic system of solutions of l~q (1). (7) in the domain of disk type G+, and the functions {zP,,,~.~}7=_ = (basic system in the domain of annulus type G+.…”