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The log-convexity of the fubini numbers | ||
| Transactions on Combinatorics | ||
| مقاله 2، دوره 7، شماره 2، شهریور 2018، صفحه 17-23 اصل مقاله (211.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2017.104212.1496 | ||
| نویسنده | ||
| Qing Zou* | ||
| The University of Iowa | ||
| چکیده | ||
| Let $f_n$ denotes the $n$th Fubini number. In this paper, first we give upper and lower bounds for the Fubini numbers $f_n$. Then the log-convexity of the Fubini numbers has been obtained. Furthermore we also give the monotonicity of the sequence $\{\sqrt[n]{f_n}\}_{n\ge 1}$ by using the aforementioned bounds. | ||
| کلیدواژهها | ||
| Fubini number؛ log-convexity؛ monotonicity | ||
| اصل مقاله | ||
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| مراجع | ||
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