Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-27T21:49:25.493Z Has data issue: false hasContentIssue false
  • English
  • Français

A VERSION OF ROUCHÉ’S THEOREM FOR CONTINUOUS FUNCTIONS

Part of: Miscellaneous topics of analysis in the complex domain

Published online by Cambridge University Press:  09 December 2014

ARMEN GRIGORYAN
ARMEN GRIGORYAN*
Affiliation:
Institute of Mathematics and Informatics, The John Paul II Catholic University of Lublin, Konstantynów 1H, 20-708 Lublin, Poland email [email protected]
Rights & Permissions [Opens in a new window]

Abstract

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.

In this paper we give a stronger form of Rouché’s theorem for continuous functions.

Keywords

Rouché’s theoremdegree principle

MSC classification

Primary: 30E99: None of the above, but in this section
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 2 , April 2015 , pp. 268 - 272
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

References

Conway, J. B., Functions of One Complex Variable, 2nd edn (Springer, New York, 1978).Google Scholar
Danikas, N. and Nestoridis, V., ‘A property of H 1 functions’, Complex Var. Theory Appl. 4 (1985), 277–284.Google Scholar
Duren, P., Hengartner, W. and Laugesen, R. S., ‘The argument principle for harmonic functions’, Amer. Math. Monthly 103 (1996), 411–415.CrossRefGoogle Scholar
Glicksberg, I., ‘A remark on Rouché’s theorem’, Amer. Math. Monthly 83 (1976), 186–187.Google Scholar
Sheil-Small, T., Complex Polynomials (Cambridge University Press, Cambridge, 2002).CrossRefGoogle Scholar
Tsarpalias, A., ‘A version of Rouché’s theorem for continuous functions’, Amer. Math. Monthly 96 (1989), 911–913.Google Scholar