journal6 ›› 2013, Vol. 34 ›› Issue (1): 14-15.DOI: 10.3969/j.issn.1007-2985.2013.01.004

• Mathematics • Previous Articles     Next Articles

Analytic Behavior of Certain Cauchy Transforms on Sierpinski Gasket


  1. (Department of Mathematics,Huaihua College,Huaihua 410008,Hunan China)
  • Online:2013-01-25 Published:2013-01-22

Abstract: It is proved that a new function G(z)=∫K(1-zw)-1dμ(w) has no zero points in |z|<1 and 1/(G(z)) is analytic in |z|<1 by Rouché’s theorem,where K is Sierpinski Gasket.

Key words: analytic, Hausdorff measure, Sierpinski gasket

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