144 citations · 972 across the 59 of their papers we have counts for
60 papers
Elliptic Selberg integrals
Seamus P. Albion, Eric M. Rains, S. Ole Warnaar
We use the elliptic interpolation kernel due to the second author to prove an extension of the elliptic Selberg integral. More generally, we obtain elliptic analogue…
An Bailey tree and Rogers-Ramanujan-type identities
S. Ole Warnaar
The Bailey chain of Andrews, Schilling and the author is extended to a four-parameter Bailey tree. As main application of this tree, we prove the Kana…
The Andrews-Gordon identities and cylindric partitions
S. Ole Warnaar
Inspired by a number of recent papers by Corteel, Dousse, Foda, Uncu and Welsh on cylindric partitions and Rogers-Ramanujan-type identities, we obtain the (or $\math…
An Elliptic Hypergeometric Function Approach to Branching Rules
Chul-hee Lee, Eric M. Rains, S. Ole Warnaar
We prove Macdonald-type deformations of a number of well-known classical branching rules by employing identities for elliptic hypergeometric integrals and series. We also propose s…
AFLT-type Selberg integrals
Seamus P. Albion, Eric M. Rains, S. Ole Warnaar
In their 2011 paper on the AGT conjecture, Alba, Fateev, Litvinov and Tarnopolsky (AFLT) obtained a closed-form evaluation for a Selberg integral over the product of two Jack polyn…
-rious and -riouser
S. Ole Warnaar, Wadim Zudilin
Dick Askey is known not just for his beautiful mathematics and his many amazing theorems, but also for posing numerous interesting and important open problems. Dick being Dick, the…