  The harmonic numbers and generalized harmonic numbers appear frequently in
many diverse areas such as combinatorial problems, many expressions involving
special functions in analytic number theory and analysis of algorithms. The aim
of this paper is to derive some identities involving generalized harmonic
numbers and generalized harmonic functions from the beta functions F(x)= B(
x+1, n+1), ( n=0,1,2,..) using elementary methods.
