2008•Journal of Naval University of EngineeringRequires access

Riemann boundary value problem for K-hypemonogenic functions in Clifford analysis

Yang Liu

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Abstract

The function theory in Clifford analysis are studied extensively nowadays,and many research results develop the theory of analytic function in complex analysis.In 2005,Qiao Yuying stu-died boundary value problems of K-hypemonogenic functions.K-hypemonogenic functions in Clifford analysis were studied,and a kind of expression and some properties such as Cauchy formula were obtained.The conversion method and integral equation and the fixed point theorem were used to prove the existence and uniqueness of the solution to boundary value problems for K-hypemonogenic function.

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The function theory in Clifford analysis are studied extensively nowadays,and many research results develop the theory of analytic function in complex analysis.In 2005,Qiao Yuying stu-died boundary value problems of K-hypemonogenic functions.K-hypemonogenic functions in Clifford analysis were studied,and a kind of expression and some properties such as Cauchy formula were obtained.The conversion method and integral equation and the fixed point theorem were used to prove the existence and uniqueness of the solution to boundary value problems for K-hypemonogenic function.

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Available abstract

The function theory in Clifford analysis are studied extensively nowadays,and many research results develop the theory of analytic function in complex analysis.In 2005,Qiao Yuying stu-died boundary value problems of K-hypemonogenic functions.K-hypemonogenic functions in Clifford analysis were studied,and a kind of expression and some properties such as Cauchy formula were obtained.The conversion method and integral equation and the fixed point theorem were used to prove the existence and uniqueness of the solution to boundary value problems for K-hypemonogenic function.

Key concepts: Clifford analysis, Cauchy's integral formula, Mathematics, Uniqueness, Boundary value problem, Mathematical analysis, Cauchy's integral theorem, Function (biology)

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