首页 | 本学科首页   官方微博 | 高级检索  
文章检索
  按 检索   检索词:      
出版年份:   被引次数:   他引次数: 提示:输入*表示无穷大
  收费全文   3篇
  完全免费   1篇
  数学   4篇
  2007年   1篇
  2001年   2篇
  1996年   1篇
排序方式: 共有4条查询结果,搜索用时 21 毫秒
1
1.
There are many accelerating convergence factors (ACFs) for limit periodic continued fraction K(an/1)(an→a≠0). In this paper, some characteristics and comparative theorems are ob tained on ACFs. Two results are given for most frequently used ACFs.  相似文献
2.
Continued fractions K(a n /b n ) , where a n , b n \smallbf C and a n /b n b n-1 →-\frac 14 , may converge or diverge depending on how a n /b n b n-1 approaches its limit. Due to equivalence transformations it suffices to study the special case where all b n =1 . We shall prove that K(a n /1) converges if a n →-\frac 14 and there exists a set V\subseteq\smallbf C \cup{∈fty} with certain properties such that a n /(1+V)\subseteq V for all n . We shall also summarize some other useful consequences of such value sets V . January 31, 2000. Date revised: July 28, 2000. Date accepted: August 16, 2000.  相似文献
3.
本文获得了一类极限循环连分式的加速收敛因子,证明了它们具有良好的加速收敛性质.  相似文献
4.
For integers m2, we study divergent continued fractions whose numerators and denominators in each of the m arithmetic progressions modulo m converge. Special cases give, among other things, an infinite sequence of divergence theorems, the first of which is the classical Stern–Stolz theorem.We give a theorem on a class of Poincaré-type recurrences which shows that they tend to limits when the limits are taken in residue classes and the roots of their characteristic polynomials are distinct roots of unity.We also generalize a curious q-continued fraction of Ramanujan's with three limits to a continued fraction with k distinct limit points, k2. The k limits are evaluated in terms of ratios of certain q-series.Finally, we show how to use Daniel Bernoulli's continued fraction in an elementary way to create analytic continued fractions with m limit points, for any positive integer m2.  相似文献
1
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号