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

John Gill

 Mathematics Department, University of Southern Colorado, Pueblo 81001-4901, CO, USA
Received 11 January 1995; Revised 28 July 1995

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.