On the convergence of continued radicals with applications to polynomial equations

Document Type

Article

Publication Date

1-1-1985

Abstract

The class of continued radicals {A figure is presented} is investigated for the case where an≥0,rn≥2. Results concerning the convergence of continued radicals are obtained and an error estimate is given for the approximating sequence {A figure is presented}{A figure is presented}, n = 1,2,..., in the case when rn is an integer ≥2. Some examples illustrating the applicability of continued radicals to polynomial equations, and their relation to continued fractions, are given. © 1985.

Identifier

0022045691 (Scopus)

Publication Title

Journal of the Franklin Institute

External Full Text Location

https://doi.org/10.1016/0016-0032(85)90007-9

ISSN

00160032

First Page

391

Last Page

396

Issue

4

Volume

319

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