中文摘要：

本文主要讨论一类角度为θ=π/α,α≥1/2的扇形域上高阶多解析方程的Schwarz边值问题.通过构造适当的高阶-Schwarz算子和Pompeiu算子,我们给出了详细的解表达式.本文把边值问题进一步推广到高阶情形,丰富了扇形域上边值问题的发展.

英文摘要：

In this paper,we give a general discussion of Schwarz problem for polyanalytic equations in a sector with angle θ=π/α,a≥1/2.By constructing proper Poly-Schwarz and Pompeiu operators,the explicit solvability expressions for Schwarz problem are obtained,which extends the related result to higher order case and enriches the development of boundary problems in a sector.