About this Mathematics article
Overpartition Analogues of Q-bi$$^{s}$$nomial Coefficients: Basic Properties and Log-concavity by Yousra Ghemit; Moussa Ahmia is a Mathematics article available to read on EtoBox.
In this paper, we define overpartition analogues of q-bi s nomial coefficients as generating functions for the number of overpartitions fitting inside the (N − 1) × M rectangle in which no part appears more than s times, which we call over q-bi s nomial (resp. over (q, t)-bi s nomial) coefficients. We study basic properties and we prove the (q, t)-logconcavity (resp. the q-log-concavity) of over (q, t)-bi s nomial (resp. over q-bi s nomial) coefficients. We also extend the Dousse and Kim's results on the (q, t)-log-concavity of over (q, t)-binomial coefficients.
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- Author
- Yousra Ghemit; Moussa Ahmia
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)