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The Some Class of Singular Integral Equations for Hypercomplex Fancction in the Rectifiiable Close Curve

Zeng Yuesheng(Department of Mathematics)  
This paper deala with the solutions of the Singular integral equations and where Γ is a rectifiable closed curve which satisfies the, condition OOOr(δ)=O(δ)(δ→0) are hyper complex junctions. We first give an equivalent Riemann boundary value problem of the hyperanalytic function in the rectifiable closed curves, and have not only established an explicit form of the general solution of the singular integral equations ( 1 )and( 2 ), but, also found the necessary and sufficient conditions for the solvability of the above equations. And the reration between index and number of the linear independent solutions has been obtained.
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Chinese Journal Full-text Database 1 Hits
1 Zeng Yuesheng (Huihua Teachers College,Hunan);CARLEMAN BOUNDARY PROBLEM FOR BOUNDED DOMAINS IN CLASS OF HYPERANALYTIC FUNCTIONS[J];Journal of Natural Science of Hunan Normal University;1985-03
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