👉 In mathematics, a holomorphic function is a complex function that is analytic everywhere on its domain. This means that it has an infinite number of antiderivatives (i.e., its derivative exists) and can be expressed as a power series in which all terms are real numbers. Holomorphic functions have many properties that make them particularly useful in various branches of mathematics, including algebraic geometry, complex analysis, and functional analysis. They also play a crucial role in the study of mappings between differentiable
