Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9509511 | Journal of Computational and Applied Mathematics | 2005 | 8 Pages |
Abstract
In this letter, the elementary result of Ramanujan for nested roots, also called continued or infinite radicals, for a given integer N, expressed by him as a simple sum of three parts (N=x+n+a) is shown to give rise to two distinguishably different expansion formulas. One of these is due to Ramanujan and surprisingly, it is this other formula, not given by Ramanujan, which is more rapidly convergent!
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
K. Srinivasa Rao, G. Vanden Berghe,