International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 235-242

Convergence of composition sequences of bilinear and other transformations {fn},fnz

John Gill

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.


This paper investigates convergence behavior of composition sequences f1f2fn(z) and fnfn1f1(z) where the fn's are bilinear transformations and fnz. Additional results are provided for the case when the fn's are more general functions.