VLADIMIROV FUNUTIONAL REPRESENTATION IN TERMS OF SPHERICAL HARMONICS IN CYLINDER ROTATION-SYMMETRY COORDINATES

I. A. Adamskaya, I. N. Orlov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1985. Вып.3. С. 3-18.

      For an arbitrary harmonics number, the Vladimirov functional is expressed in terms of spherical harmonic in cylinder, (r,z,θ,φ), and spherical, (r, θ,θ,φ) coordinates. A program is given to evaluate matrix elements, spherical harmonics, included into quadratic expressions which represent the Vladimirov functional.