Series Evaluation of a Quartic Integral and Generalizations (2009)
We present a new single sum series evaluation of Moll's quartic integral and present similar results for two generalizations
Some Nice Sums are Almost as Nice if you turn them Upside Down (2009)
Apagodu, Moa, Zeilberger, Doron
We represent the sums $\sum_{k=0}^{n-1}{n \choose k}^{-2}$, $\sum_{k=0}^m{m\choose k}^{-1}{a\choose n-k}^{-1}$, $\sum_{k=0}^{n-1}\frac{q^{-k(k-1)}}{{\genfrac{[}{]}{0pt}{}{n}{k}}_q}$, and the sum of...
One-parameter Generalizations of Ramanujan's Formula for $\pi$ (2009)
Several terminating generalizations of Ramanujan's formula for $\frac{1}{\pi}$ with complete WZ proofs are given.
Moa Apagodu, Doron Zeilberger, Dedicated Sergei, Abramov Five-dozen
In the old days, when one had to find some sequence, a(n), there were two extremes. In the lucky case, one had an explicit formula. For example, the probability of tossing a fair coin 2n times and...
Searching for Strange Hypergeometric Identities By Sheer Brute Force (2008)
Apagodu, Moa, Zeilberger, Doron
We describe a systematic search for all strange hypergeometric identities up to a certain complexity with sheer brute force that lead us to the discovery of two new infinite families of closed-form...
Advances in Applied Mathematics 37 (2006) 139–152 (2006)
Multi-variable Zeilberger, Moa Apagodu, Doron Zeilberger
www.elsevier.com/locate/yaama
Superficially, this article, dedicated with friendship and admiration to Amitai Regev, has nothing to do with either Polynomial Identity Rings, Representation Theory, or Young tableaux, to all of...