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Abstract
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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:
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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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Abstract
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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.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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