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
          
          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.