Numerical Methods for Generalized Axially Symmetric Potentials

is called a generalized axially symmetric potential (GASP) in n = k + 2 dimensions. Many authors have studied these functions [9], [10], [17], [27]. When fc is a positive integer, u(x, y) is a harmonic function in n dimen? sions having certain symmetry properties. For example, when k = 1, u(z, r) is an axially symmetric harmonic function in cylindrical coordinates. Several authors [4], [8], [12], [13] have studied numerical methods for this