Michael J. Schlosser, Koushik Senapati and
Ali K. Uncu
Log-concavity results for a biparametric and an
elliptic extension of the q-binomial coefficients
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 is an older preprint version, as PDF.
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