International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 235-242
doi:10.1155/S0161171297000318
Convergence of composition sequences of bilinear and other transformations {fn},fn→z
Mathematics Department, University of Southern Colorado, Pueblo 81001-4901, CO, USA
Received 11 January 1995; Revised 28 July 1995
Copyright © 1997 John Gill. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper investigates convergence behavior of composition sequences
f1∘f2∘…∘fn(z) and fn∘fn−1∘…∘f1(z) where the fn's are bilinear transformations and fn→z.
Additional results are provided for the case when the fn's are more general functions.