Solutions for Higher Order Cauchy Difference Equation in Free Monoid

Abstract

Let  h:  P   →  Q   is   a   Function,   where   P  is   a  Group  with   respect to multiplication and Q be an  Abelian  Group  with  respect  to  addition. In this article, the mth Order Cauchy Difference Equation is discussed, where ℎ

as function of combination r at a time from m objects.  we find solutions of D(m)h = 0 in Free Monoid.