تقرير
Log-concavity results for a biparametric and an elliptic extension of the $q$-binomial coefficients
| العنوان: | Log-concavity results for a biparametric and an elliptic extension of the $q$-binomial coefficients |
|---|---|
| المؤلفون: | Schlosser, Michael J., Senapati, Koushik, Uncu, Ali K. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Combinatorics, 05A20 (Primary) 05A10, 05A30, 11F27, 26D20, 33E05 (Secondary) |
| الوصف: | 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 Tur\'an's inequality. Comment: 17 pages; dedicated to Bruce Berndt, on the occasion of his 80th birthday; minor changes; to appear in the International Journal of Number Theory |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2002.07796 |
| رقم الأكسشن: | edsarx.2002.07796 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |