Some Riemann Boundary-value Problems Of K-regular Function

In this paper,some boundary-value problems of k-regular function on complex plane are discussed by the tool of complex analysis.In chapter one,the Riemann boundary-value problems of k-regular func-tion and the equation of n-order such as (?)=f are obtained. the solv-able conditions and representations of solutions are discussed. The Riemann boundary-value problems of k-regular functions are transformed into the Rie-mann boundary-value problems of analytic functions in a ways like [7].The relative solvable conditions and expressions of solutions are investigated in a way like [7].In the second chapter,the Riemann boundary-value problems of k-regular functions with unknown function in infinite line are examined. The solvable conditions and expressions of solutions of this boundary-value problems are also discussed.