Some summation formulas involving harmonic numbers and generalized harmonic numbers
Harmonic numbers and generalized harmonic numbers have been studied since the distant past and are involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics and theoretical physics. Here we aim at presenting further interesting identities about certain finite or infinite series involving harmonic numbers and generalized harmonic numbers. We also give a brief eclectic review on some known properties associated with the harmonic and generalized harmonic numbers. (C) 2011 Elsevier Ltd. All rights reserved.
harmonic numbers generalized harmonic numbers riemann zeta function hurwitz zeta function stirling numbers of the first kind generalized hypergeometric function (p)f(q) summation formulas for (p)f(q) psi function polygamma functions