A note on Riemann problems for single‐periodic polyanalytic functions

Abstract

In this article, a new canonical function has been established to deal with Riemann boundary‐value problem of periodic analytic functions discussed in . In comparison with the corresponding result in , the expression of solution obtained here is much simpler. Then, we demonstrate the equivalence of solutions for the homogeneous Riemann problem. What's more, we obtain the precise rank of matrix of coefficients for the system of linear algebraic equations (4.35) in . Those results can simplify the discussion of Riemann problem of single‐periodic polyanalytic functions in .