An analytical solution of the general eigenequation [equation: see PDF] where [equation: see PDF] is independently linear in the Y ( r ) and λ i , and Y ( x ) is the eigenfunction and λ is the eigenvalue, is developed. The eigenfunction is obtained as an analytic function of x , and the eigenvalue λ is the ratio between successive functions in an expansion. The solution is always convergent, and
... [Show full abstract] can be used as a practical method of computing eigenparameters to a high degree of precision. Two examples of computer application are given in which the solutions are obtained as power series.