1 citations · 1 across the 6 of their papers we have counts for
7 papers
Gosper's algorithm and Bell numbers
Robert Dougherty-Bliss
Computers are good at evaluating finite sums in closed form, but there are finite sums which do not have closed forms. Summands which do not produce a closed form can often be ``fi…
Exploring General Apéry Limits via the Zudilin-Straub t-transform
Robert Dougherty-Bliss, Doron Zeilberger
Inspired by a recent beautiful construction of Armin Straub and Wadim Zudilin, that 'tweaked' the sum of the powers of the -th row of Pascal's triangle, getting instead…
Experimenting with Apery Limits and WZ pairs
Robert Dougherty-Bliss, Doron Zeilberger
This article, dedicated with admiration in memory of Jon and Peter Borwein, illustrates by example, the power of experimental mathematics, so dear to them both, by experimenting wi…
Integral Recurrences from A to Z
Robert Dougherty-Bliss
George Boros and Victor Moll's masterpiece "Irresistible Integrals" does well to include a suitably-titled appendix, "The Revolutionary WZ Method," which gives a brief overview of…
Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery
Robert Dougherty-Bliss, Christoph Koutschan, Doron Zeilberger
There are only aleph-zero rational numbers, while there are 2 to the power aleph-zero real numbers. Hence the probability that a randomly chosen real number would be rational is 0.…
Enumerating Restricted Dyck Paths with Context-Free Grammars
AJ Bu, Robert Dougherty-Bliss
The number of Dyck paths of semilength is famously , the th Catalan number. This fact follows after noticing that every Dyck path can be uniquely parsed according to a…