A. Uncu

activity

20152026

most citedOn a weighted spin of the Lebesgue Identity

21 citations · 24 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CO2020

Cylindric partitions and some new $A_{2}$ Rogers-Ramanujan identities

Sylvie Corteel, Jehanne Dousse, Ali K. Uncu

We study the generating functions for cylindric partitions with profile $(c_{1}, c_{2}, c_{3})$ for all $c_{1}, c_{2}, c_{3}$ such that $c_{1} + c_{2} + c_{3} = 5$ . This allows us to discover and prove seven…

math.CO2020★ 21 cited

On a weighted spin of the Lebesgue Identity

Ali K. Uncu

Alladi studied partition theoretic implications of a two variable generalization of the Lebesgue identity. In this short note, we focus on a slight variation of the basic hypergeom…

math.CA2020

Log-concavity results for a biparametric and an elliptic extension of the $q$ -binomial coefficients

Michael J. Schlosser, Koushik Senapati, Ali K. Uncu

We establish discrete and continuous log-concavity results for a biparametric extension of the $q$ -numbers and of the $q$ -binomial coefficients. By using classical results for the…

Cylindric partitions and some new A2​ Rogers-Ramanujan identities

On a weighted spin of the Lebesgue Identity

Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients

Cylindric partitions and some new $A_{2}$ Rogers-Ramanujan identities

Log-concavity results for a biparametric and an elliptic extension of the $q$ -binomial coefficients