BOUNDARY VERSION OF A TWIN REGION CONVERGENCE THEOREM FOR CONTINUED FRACTIONS

[摘要] The starting point of the present paper is a result by Thron (1959) on twin convergence regions, dealing with continued fractions K(c(n)2/1), where \c2m-1\ less-than-or-equal-to rho < 1 and \c2m +/- i\ greater-than-or-equal-to-rho. In the present paper these regions are replaced by their boundaries, and the sets of continued fraction values are determined.

[发布日期] 1991-09-24

[关键词] CONTINUED FRACTIONS;CONVERGENCE