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

@article{Schlosser2020LogconcavityRF,
  title={Log-concavity results for a biparametric and an elliptic extension of the \$q\$-binomial coefficients},
  author={M. Schlosser and K. Senapati and A. Uncu},
  journal={arXiv: Classical Analysis and ODEs},
  year={2020}
}
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 Turan's inequality. 
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