Journal of Jishou University(Natural Sciences Edition)

Previous Articles     Next Articles

Analyticity of a Cauchy Transform on Dichotomous Cantor Dust

LI Hongguang   

  1. (College of Mathematics and Computing Science,Huaihua University,Huaihua  410008,Hunan China)
  • Online:2016-11-25 Published:2016-12-13


A Cauchy transform G(z) defined on dichotomous Cantor dust is proved to be analytic in |z|<1 through Rouché′s  theorem,and its taylor exhibition in z=0 is offered.

Key words: analytic, Hausdorff measure, dichotomous Cantor dust

WeChat e-book chaoxing Mobile QQ