4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2010★ 4 cited
Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries
Hasan Coskun
We give new proofs for certain bilateral basic hypergeometric summation formulas using the symmetries of the corresponding series. In particular, we present a proof for Bailey's $_…
math.CO2010
A multilateral Bailey Lemma and multiple Andrews--Gordon identities
Hasan Coskun
A multilateral Bailey Lemma is proved, and multiple analogues of the Rogers--Ramanujan identities and Euler's Pentagonal Theorem are constructed as applications. The extreme cases…
math.CO2010
Multiple analogues of binomial coefficients and related families of special numbers
Hasan Coskun
We construct multiple -binomial coefficients and related multiple analogues of several celebrated families of special numbers in this paper. These multidimensional generalizati…