一般多项式的单峰性与离散uniform distribution卷积幂的最大概率
Unimodality of ordinary multinomials and maximal probabilities of convolution powers of discrete uniform distribution
摘要：
建立了一般多项式的单峰性和渐近强单峰性，并给出了它们的最小模，从而导出了离散均匀分布卷积幂的最大概率表达式.给出了广义普通多项式序列的生成函数，并给出了离散均匀分布卷积幂的最大概率序列的推广.
英文摘要：
We establish the unimodality and the asymptotic strong unimodality of the ordinary multinomials and give their smallest mode leading to the expression of the maximal probability of convolution powers of the discrete uniform distribution. We conclude giving the generating functions of the sequence of generalized ordinary multinomials and for an extension of the sequence of maximal probabilities for convolution power of discrete uniform distribution.
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