Institute of Mathematics and Informatics, The John Paul II Catholic University of Lublin, Konstantynów 1H, 20-708 Lublin, Poland email armen@kul.lublin.pl
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.
Conway, J. B., Functions of One Complex Variable, 2nd edn (Springer, New York, 1978).Google Scholar
[2]
Danikas, N. and Nestoridis, V., ‘A property of H1 functions’, Complex Var. Theory Appl.4 (1985), 277–284.Google Scholar
[3]
Duren, P., Hengartner, W. and Laugesen, R. S., ‘The argument principle for harmonic functions’, Amer. Math. Monthly103 (1996), 411–415.CrossRefGoogle Scholar
[4]
Glicksberg, I., ‘A remark on Rouché’s theorem’, Amer. Math. Monthly83 (1976), 186–187.Google Scholar
[5]
Sheil-Small, T., Complex Polynomials (Cambridge University Press, Cambridge, 2002).CrossRefGoogle Scholar
[6]
Tsarpalias, A., ‘A version of Rouché’s theorem for continuous functions’, Amer. Math. Monthly96 (1989), 911–913.Google Scholar