A method of generating integral relations by the simultaneous separability of generalized Schrödinger equations

One of the most important methods in the theory of special functions of mathematical physics is that of generating integral relations for these functions by the simultaneous separability of the 3-dimensional wave equation in different orthogonal coordinate systems. In the present paper it will be shown that a consequent application of this principle of simultaneous separability to more general partial differential equations and higher dimensions yields various types of integral relations for the solutions of a wide class of ordinary differential equations which especially contains all second-order equations of Fuchsian type.


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