In this work, we focus on complex harmonic functions. These are functions of a single complex variable, where both the real and imaginary parts satisfy the Laplace partial differential equation. This represents a natural generalization of holomorphic functions. In our study, we restrict ourselves to the class of injective functions defined on the unit disk. We introduce the so-called shearing method, which allows us to construct such functions using holomorphic functions of the same class. Using this method, we construct a harmonic analogue of the Koebe function.
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