We find a simple expression in complex terms for homogeneous harmonic polynomials, which we use to express the Laurent series of a harmonic function around an isolated singularity. Also, we show a residue theorem and study the orientation at isolated singularities through the use of complex dilatation, focusing on those points where orientation is not preserved nor reversed, making essential the concept of exceptional set and extending it to isolated singularities.

中文翻译：

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调和函数奇异点的方向

我们找到了齐次调和多项式的复杂项的简单表达式，我们用它来表达孤立奇点周围调和函数的洛朗级数。此外，我们展示了一个残差定理，并通过使用复膨胀研究了孤立奇点的方向，重点关注那些方向既不保留也不反转的点，使例外集的概念变得必不可少，并将其扩展到孤立奇点。