Yang Liu
Abstract
In this paper, k-regular functions (the solutions of the equation ~kW~k=0) is studied. We discuss Cauchy theorem, Morera theorem and extension theorem relative to the functions. By virtue of these properties, we study the Riemann boundary value problem and its inverse problem.
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In this paper, k-regular functions (the solutions of the equation ~kW~k=0) is studied. We discuss Cauchy theorem, Morera theorem and extension theorem relative to the functions. By virtue of these properties, we study the Riemann boundary value problem and its inverse problem.
Key concepts: Mathematics, Riemann sum, Boundary value problem, Riemann hypothesis, Extension (predicate logic), Inverse, Inverse function theorem, Uniformization theorem