An overpartition analogue of q-binomial coefficients, II: Combinatorial proofs and (q,t)-log concavity
نویسندگان
چکیده
منابع مشابه
AN OVERPARTITION ANALOGUE OF THE q-BINOMIAL COEFFICIENTS
We define an overpartition analogue of Gaussian polynomials (also known as q-binomial coefficients) as a generating function for the number of overpartitions fitting inside the M ×N rectangle. We call these new polynomials over Gaussian polynomials or over q-binomial coefficients. We investigate basic properties and applications of over q-binomial coefficients. In particular, via the recurrence...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2018
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2018.03.011