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     Research Journal of Applied Sciences, Engineering and Technology

    Abstract
2012(Vol.4, Issue:21)
Article Information:

Riemann Boundary Value Problems for Koch Curve

Zhengshun Ruan and Aihua Luo
Corresponding Author:  Aihua Luo 
Submitted: May 04, 2012
Accepted: June 08, 2012
Published: November 01, 2012
Abstract:
In this study, when L is substituted for Koch curve, Riemann boundary value problems was defined, but generally speaking, Cauchy-type integral is meaningless on Koch curve. When some analytic conditions are attached to functions G (z) and g (z), through the limit function of a sequence of Cauchytype integrals, the homogeneous and non-homogeneous Riemann boundary problems on Koch curve are introduced, some similar results was attained like the classical boundary value problems for analytic functions.

Key words:  Holder condition, index, koch curve, riemann boundary value problem, , ,
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Cite this Reference:
Zhengshun Ruan and Aihua Luo, . Riemann Boundary Value Problems for Koch Curve. Research Journal of Applied Sciences, Engineering and Technology, (21): 4484-4487.
ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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