21 citations · 41 across the 24 of their papers we have counts for
34 papers
A MacMahon Analysis View of 4 Diagonal DSPPs
Runqiao Li, Ali K. Uncu
We study skew double-shifted plane partitions with three-element profiles using MacMahon's partition analysis. We present new generating function formulas for these partitions, inc…
A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
Ali K. Uncu
We give new proofs of MacMahon and Russell's modulo 6 identities using the method of weighted words. We also present a new refinement of MacMahon's identity, some related finite su…
Combinatorial Proofs of Ismail's Identities on Al-Salam--Chirara Polynomials
Ali K. Uncu
We present new proofs of two identities arising in the work of Mourad Ismail using partition theoretic generating function interpretations.
A MacMahon Analysis View of Cylindric Partitions
Runqiao Li, Ali K. Uncu
We study cylindric partitions with two-element profiles using MacMahon's partition analysis. We find explicit formulas for the generating functions of the number of cylindric parti…
Quantifier Elimination for Normal Cone Computations
Michael Mandlmayr, Ali Kemal Uncu
We present effective procedures to calculate regular normal cones and other related objects using quantifier elimination. This method of normal cone calculations is complementary t…
Factorial Basis Method for q-Series Applications
Antonio Jiménez-Pastor, Ali Kemal Uncu
The Factorial Basis method, initially designed for quasi-triangular, shift-compatible factorial bases, provides solutions to linear recurrence equations in the form of definite-sum…