SOME GEOMETRIC APPLICATIONS OF RESISTANT LENGTH OF CURVE FAMILIES (I)

  • Chung, Bohyun (Mathematics Section College of Science and Technology Hongik University) ;
  • Jung, Wansoo (Department of Mathematics Soonchunhyang University)
  • 투고 : 2006.11.29
  • 발행 : 2006.12.30

초록

We introduce the resistant length and examine its properties. We also consider the geometric applications of resistant length to the boundary behavior of analytic functions, conformal mappings and derive the theorem in connection with the cluster sets, purely geometric problems. The method of resistant length leads a simple proofs of theorems. So it shows us the usefulness of the method of resistant length.

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