An overpartition analogue of the q-binomial coefficients
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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Gaussian numbers, also called Gaussian polynomials or q-binomial coefficients are the q-analogs of common binomial coefficients. First introduced by Euler these polynomials have played an important role in many different branches of mathematics. Sylvester discovered the unimodality of their coefficients, using invariant theory. Gauss recognized the connection of the coefficients to proper integ...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2015
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-015-9718-4