关于多项式数列的对数凹性
On The Log-Concavity of Polygonal Figurate Number Sequences
摘要：
本文给出了$m$ -可积数列的对数可积性。本文给出并证明了$m$ -可积数列及其相应的商序列的递推公式，并证明了它们是有界的。最后，证明了对于$m\geq 3$，$m$-拟形数的序列$\big \{S_n(m)\big\}_{n\geq 1}$是对数凹的.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
