تقرير
Inequalities for some basic hypergeometric functions
العنوان: | Inequalities for some basic hypergeometric functions |
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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. |