تقرير
Inequalities for some basic hypergeometric functions
| العنوان: | Inequalities for some basic hypergeometric functions |
|---|---|
| المؤلفون: | Kalmykov, S. I., Karp, D. B. |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 33D15, 26A51 |
| الوصف: | We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric function with respect simultaneous shift of all its parameters. For a particular case of Heine's basic hypergeometric function we prove logarithmic concavity and convexity with respect to the bottom parameter. We further establish a linearization identity for the generalized Tur\'{a}nian formed by a particular case of Heine's basic hypergeometric function. Its $q=1$ case also appears to be new. Comment: 12 pages; no figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1808.05105 |
| رقم الأكسشن: | edsarx.1808.05105 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |