We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Institute of Mathematics and Informatics, The John Paul II Catholic University of Lublin, Konstantynów 1H, 20-708 Lublin, Poland email [email protected]
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