On Schwarz-type boundary-value problems of polyanalytic equation on a triangle

Yufeng Wang, Yanjin Wang

Abstract


We will consider the Schwarz-type boundary-value problems (BVPs) of the polyanalytic equation on an isosceles orthogonal triangle. In contrast to [1], the expression of its unique solution are explicitly obtained by the different decomposition of polyanalytic functions.

Keywords


polyanalytic equation; Schwarz-type problem; triangle

Mathematics Subject Classification


30E25; 30G30; 31A25; 40E05

References


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Wang, Yufeng and Yanjin Wang. "Schwarz-type problem of nonhomogeneous Cauchy-Riemann equation on a triangle." to appear.


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