几类连分式数列的极限  

Several kinds of the limits of the sequence of number of continued fraction

作　　者：陈晓化[1] 任丹妮[1] 王艳霜[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纯粹数学与应用数学》2008年第4期802-805,共4页Pure and Applied Mathematics

基　　金：陕西省自然科学基金(2003A07)

摘　　要：主要证明了几类连分式数列的极限问题.应用实数连续性公理证明了连分数数列的推广形式,几类连分式数列收敛,并得到了它的极限.不仅证明了一些Pell方程的求解问题,而且还把连分式数列收敛问题得到了更广泛深入的推广.The main types of proof of continued fraction series of extreme problems. Application of continuity of real numbers proved the form of promotion of continued fraction , several types of continued fraction series convergence, and to be its limits. Not only to prove a number of PelFs equation to solve problems but also continued fraction series convergence problem is more extensive and in-depth Promotion.

关 键 词：连分数 PELL方程 收敛 极限 

分 类 号：O156[理学—数学]