Some remarks on expansions in terms of generalized helmholtz polynomials

Abstract

Results of Lo³⁻⁴⁻⁵ on a system of polynomial solutions (called generalized Helmholtz polynomials) of a perturbed heat equation can be interpreted as special cases of results to more general perturbed equations. The approach used in this note is quite different to the methods which usually are the base for the discussion of heat polynomials and analogous systems

AMS(MOS) Classification Number::

• 35C10