3 citations · 12 across the 16 of their papers we have counts for
4 papers · 2 filters
The WP - Bailey Tree and its Implications
George E. Andrews, Alexander Berkovich
Our object is a thorough analysis of the WP-Bailey tree, a recent extension of classical Bailey chains. We begin by observing how the WP-Bailey tree naturally entails a finite numb…
Lattice paths, q-multinomials and two variants of the Andrews-Gordon identities
Alexander Berkovich, Peter Paule
A few years ago Foda, Quano, Kirillov and Warnaar proposed and proved various finite analogs of the celebrated Andrews-Gordon identities. In this paper we use these polynomial iden…
A computer proof of a polynomial identity implying a partition theorem of Goellnitz
A. Berkovich, A. Riese
In this paper we give a computer proof of a new polynomial identity, which extends a recent result of Alladi and the first author. In addition, we provide computer proofs for new f…
Variants of the Andrews-Gordon Identities
A. Berkovich, P. Paule
The object of this paper is to propose and prove a new generalization of the Andrews-Gordon identities, extending a recent result of Garrett, Ismail and Stanton. We also give a com…