In this paper, the general high order equal ratios sequence have been studied by generating functions and recursion relations.
本文利用母函数和递推关系求解一般高阶等比序列，得到了这类序列的一般解。
To study combinatorial properties of discrete sequences by means of zeros of generating functions is an important topic in combinatorics.
通过发生函数的零点来研究离散序列的组合性质是组合学中的一个重要课题。
This paper discusses the generating functions of monotony for the Power-Mean Inequality, Binary dimension power mean inequality and Binary integral power mean inequality.
给出了幂平均不等式及其推广、二维加权幂平均不等式等的构成函数，并讨论了它们的单调性。
For gated service discipline, the generating functions of waiting time of customer and polling cycle time are derived, and, by using Markov chain theory, mean of queue length is obtained.
本文对批到达离散时间轮询系统进行研究，在门限服务原则下，推出了顾客等待时间和轮询周期的概率母函数。
In this paper, the authors describe the establishment of a recurrence relation of a theory in detail and provides the method to solve problems by means of generating functions.
本文对一个定理中递归关系的建立给出了容易理解的详细表述，然后利用生成函数法求其解。
In this paper, the authors describe the establishment of a recurrence relation of a theory in detail and provides the method to solve problems by means of generating functions.
本文对一个定理中递归关系的建立给出了容易理解的详细表述，然后利用生成函数法求其解。
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