An analytic approach to the degree of a map is given (where is a bounded domain with smooth boundary) and a Rouché type theorem is proved.
Cite this article
T. Hatziafratis, A. Tsarpalias, On the Integral Giving the Degree of a Map and a Rouché Type Theorem. Z. Anal. Anwend. 16 (1997), no. 2, pp. 239–247DOI 10.4171/ZAA/761