21 citations · 23 across the 8 of their papers we have counts for
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math.NT2018
Elementary Polynomial Identities Involving -Trinomial Coefficients
Alexander Berkovich, Ali K. Uncu
We use -binomial theorem to prove three new polynomial identities involving -trinomial coefficients. We then use summation formulas for the -trinomial coefficients to conv…
math.NT2018
Refined -Trinomial Coefficients and Two Infinite Hierarchies of -Series Identities
Alexander Berkovich, Ali K. Uncu
We will prove an identity involving refined -trinomial coefficients. We then extend this identity to two infinite families of doubly bounded polynomial identities using transfor…
math.NT2018
Polynomial Identities Implying Capparelli's Partition Theorems
Alexander Berkovich, Ali K. Uncu
We propose and recursively prove polynomial identities which imply Capparelli's partition theorems. We also find perfect companions to the results of Andrews, and Alladi, Andrews a…