International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 3, Pages 189-192

Pairs of paths and critical points

Florin Caragiu and Ioana Caragiu

Department of Mathematics II, University Politehnica of Bucharest, Splaiul Independentei 313, Bucharest 79590, Romania

Received 22 May 2000

Copyright © 2001 Florin Caragiu and Ioana Caragiu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Two sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f(z0)=0.