递推数列的渐近估计  

Asymptotic Estimate of Some Recurrent Sequences

作　　者：欧智明[1] 田书京 

机构地区：[1]北京邮电大学基础科学部 [2]北京林业管理干部学院基础部

出　　处：《北京邮电大学学报》1996年第1期44-48,共5页Journal of Beijing University of Posts and Telecommunications

摘　　要：对于由一类差分方程所定义的递推数列，给出了两种逼近方法，一种是用相应的微分方程的解来逼近，一种是用不等式逼近．而对于某类特殊的差分方程所定义的递推数列，则给出了非常精确的渐近展开式。For a sequence defined by a difference equation,two approximation methods are given,one is by the solution of a differential equation,the other is by a series of inequalities,while for a sequence defined by some special difference equation,gives its asymptotic formula.Finally,compared the different results obtained respectively by these three methods with an esample.

关 键 词：渐近方法 递推数列 阶的估计 

分 类 号：O174.41[理学—数学]