By using the method of residue, we give a hypergeometric representation for the generalized harmonic numbers. Then the sums involving harmonic numbers fall in the scope of classical hypergeometric algorithms. With this method, we give computer-assisted proofs for many known identities. Moreover, we establish several new combinatorial identities involving the generalized harmonic numbers.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.