ABSTRACT

The necessary conditions under which there exists a solution of Equation (E), which can be written in the following form:

yn = αn un rn

+ βn vn rn ,

are given. Here (un) and (vn) are two linearly independent solutions of the linear equation

∆(rn∆yn) = anyn+1, ( lim n→∞αn = α and limn→∞ βn = β).