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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 26 (2001), Issue 3, Pages 189-192
doi:10.1155/S0161171201005233

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

Abstract

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.