4 citations · 6 across the 5 of their papers we have counts for
7 papers
Combinatorial Formulas for Certain Sequences of Multiple Numbers
Hasan Coskun
Multiple analogues of certain families of combinatorial numbers are recently constructed by the author in terms of well poised Macdonald functions, and some of their fundamental pr…
Multiple Bracket Function, Stirling Number, and Lah Number Identities
Hasan Coskun
The author has constructed multiple analogues of several families of combinatorial numbers in a recent article, including the bracket symbol, and the Stirling numbers of the first…
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 $_…
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…
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…
An Elliptic Bailey Lemma, Multiple Rogers--Ramanujan Identities and Euler's Pentagonal Number Theorems
Hasan Coskun
An elliptic generalization of the classical two parameter Bailey Lemma is proved, and a basic one parameter Bailey Lemma is obtained as a limiting case. Several summa…