论文标题
关于多边形数字序列的对数洞穴
On The Log-Concavity of Polygonal Figurate Number Sequences
论文作者
论文摘要
本文介绍了$ m $ - gonal形象数序列的对数con弹性。作者给出并证明并证明了$ M $ $ - gonal形数字序列及其相应的商序列的复发公式。最后,作者还表明,对于$ m \ geq 3 $,序列$ \ big \ {s_n(m)\ big \} _ {n \ geq 1} $ of $ m $ m $ - gonal-gonal figurate数字是log-concove。
This paper presents the log-concavity of the $m$-gonal figurate number sequences. The author gives and proves the recurrence formula for $m$-gonal figurate number sequences and its corresponding quotient sequences which are found to be bounded. Finally, the author also show that for $m\geq 3$, the sequence $\big \{S_n(m)\big\}_{n\geq 1}$ of $m$-gonal figurate numbers is a log-concave.