Michael J. Schlosser, Koushik Senapati and Ali K. Uncu

Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients

(28 pages)

Abstract We establish discrete and continuous log-concavity results for a biparametric extension of the q-numbers and of the q-binomial coefficients. By using classical results for the Jacobi theta function we are able to lift some of our log-concavity results to the elliptic setting. One of our main ingredients is a putatively new lemma involving a multiplicative analogue of Turán's inequality.

The final version of the paper can be accessed here.
Here is an older preprint version, as PDF.

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