Construction of Solutions of the Helmholtz Equation in a Cylindrical Coordinate System in the Form of Homogeneous Polynomials in Two Biorthogonal Systems of Functions
摘要
We construct a system of solutions for the coefficients of expansion in the system of trigonometric functions for the solution of the Helmholtz equation in a cylindrical coordinate system in the form of homogeneous polynomials in two biorthogonal systems of functions. Some properties of the biorthogonal systems of functions are proved.