Author:
Baker I. N.,Rubinstein Zalman
Abstract
AbstractFor a non-constant entire or rational function f normalized by f(0) = 0, f′(0) = 1, f″(0) ≠ 0, which is not a Möbius tranformation, the existence of a sequence is established which has the properties . The result certainly implies f(0)= |f(0)|= 1, so these conditions cannot be omitted. The condition f″ (0)≠ 0 can be replaced by f(k)(0) ≠ 0 for some k ≥ 2.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
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1. A variational method for the construction of convergent iterative sequences;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1986-08