Ali Kemal Uncu, A. Berkovich,
"Refined q-Trinomial Coefficients and Two Ifinite Hierarcies of q-Series Identities"
, Serie arXiv.org, Seite(n) 1-10, 2018, ISSN: 2331-8422
Original Titel:
Refined q-Trinomial Coefficients and Two Ifinite Hierarcies of q-Series Identities
Sprache des Titels:
Englisch
Original Kurzfassung:
We will prove an identity involving refined q-trinomial coefficients. We then extend this identity to two infinite families of doubly bounded polynomial identities using transformation properties of the refined q-trinomials in an iterative fashion in the spirit of Bailey chains. One of these two hierarcies contains an identity which is equivalent to Capparelli's first Partition Theorem.
Forschungs-