Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T17:40:38.203Z Has data issue: false hasContentIssue false
  • English
  • Français

On Certain Simultaneous Functional Equations

Published online by Cambridge University Press:  20 November 2018

T. D. Howroyd
T. D. Howroyd*
Affiliation:
University of New Brunswick, Fredericton, New Brunswick
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

G. de Rham [1] has shown that certain remarkable curves, defined by limits of sequences of inscribed polygons, are solutions of functional equations of the form

If the functions FP (z) (p = 1,2) are contraction mappings of the complex plane into itself, i.e. for fixed r < 1

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 1 , February 1965 , pp. 77 - 82
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. de Rham, G., Sur quelques courbes définies par des equations fonctionnelles, Univ. e Politec, Torino, Rend, Sem. Mat. 16 (1956-7), 101-113.Google Scholar
2. de Rham, G., Sur une courbe plane, Journal de Math, Pures et Appl., 35 (1956), 25-42.Google Scholar