11 citations · 32 across the 14 of their papers we have counts for
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Weight-dependent commutation relations and combinatorial identities
Michael J. Schlosser, Meesue Yoo
We derive combinatorial identities for variables satisfying specific systems of commutation relations, in particular elliptic commutation relations. The identities thus obtained ex…
Basic hypergeometric summations from rook theory
Michael J. Schlosser, Meesue Yoo
We employ a one-variable extension of q-rook theory to give combinatorial proofs of some basic hypergeometric summations, including the q-Pfaff-Saalschütz summation and a 4phi3 sum…
Elliptic extensions of the alpha-parameter model and the rook model for matchings
Michael J. Schlosser, Meesue Yoo
We construct elliptic extensions of the alpha-parameter rook model introduced by Goldman and Haglund and of the rook model for matchings of Haglund and Remmel. In particular, we ex…
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
Michael J. Schlosser, Meesue Yoo
We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results t…
An elliptic extension of the general product formula for augmented rook boards
Michael J. Schlosser, Meesue Yoo
Rook theory has been investigated by many people since its introduction by Kaplansky and Riordan in 1946. Goldman, Joichi and White in 1975 showed that the sum over of the prod…