一类广义斐波那契二项式系数序列的对数凹性研究（英文）On Log-concavity of a Generalized Fibonomials Sequence
孙毅
摘要(Abstract)：
近年来,在组合数学领域,组合序列的对数凸凹性引起了很多学者的兴趣和关注.文章研究了一类组合序列,称为s-Fibonomial序列,记作(nk)_(Fs).我们证明了(nk)_(Fs)序列对于变量k是对数凹的,而对于变量n不是对数凹的也不是对数凸的;然而,当s是偶数的时候,(nk)_(Fs)序列对变量n却是对数凹的.此外,通过考虑n-k的奇偶性,建立了两个关于s-Fibonomial序列的组合不等式.
关键词(KeyWords)： 斐波那契数列;s-Fibonomial序列;对数凹性;对数凸性
基金项目(Foundation): supported by the National Science Foundation of Xinjiang Uygur Autonomous Region(2017D01C084)
作者(Author): 孙毅
DOI: 10.13568/j.cnki.651094.2018.04.005
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