Holomorphicity refers to a property of complex functions that are differentiable at every point in a given domain. A function is considered holomorphic if it can be expressed as a power series around any point in that domain. This means that not only is the function smooth, but it also has a well-defined derivative at every point. In the context of complex analysis, holomorphic functions exhibit many interesting characteristics, such as conformality and the ability to be integrated along paths. The study of holomorphic functions is fundamental in mathematics and is closely related to concepts like analyticity and Cauchy’s integral theorem.