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6 papers
Towards The Moduli Space of Extended Partial Isometries
Tewodros Amdeberhan, Arvind Ayyer
Partial Isometries are important constructs that help give nontrivial solutions once a simple solution is known. We generalize this notion to Extended Partial Isometries and includ…
Two symmetry problems in potential theory
Tewodros Amdeberhan
We consider two eliiptic overdetermined boundary value problems. There are variants on J. Serrin's 1971 classical results and having the same conclusion that the domains should be…
Faster and Faster convergent series for
Tewodros Amdeberhan
Using WZ pairs we present an infinite family of accelerated series for computing .
A Condensed Condensation Proof of a Determinant Evaluation Conjectured by Greg Kuperberg and Jim Propp
Tewodros Amdeberhan, Shalosh B. Ekhad
We give a generalization and a short mechanized proof of determinant conjectured by G. Kuperberg and J. Propp. Further generalizations and applications of the method to some q-anal…
q-Apery Irrationality Proofs by q-WZ Pairs
Tewodros Amdeberhan, Doron Zeilberger
Using WZ forms, Apery-style proofs of the irrationality of the q-analogues of the Harmonic seires and Ln(2) are given. For the q-analogue of Ln(2), this method of proof produces an…
Hypergeometric Series Acceleration Via the WZ method
Tewodros Amdeberhan, Doron Zeilberger
Based on the WZ method, some series acceleration formulas are given. These formulas allow to write down an infinite family of parametrized identities from any given identity of WZ…