👉 In mathematics, a holomorphic function is a complex-valued function that has an infinite number of antiderivatives (i.e., it can be deformed to its limit in any neighborhood of each point without changing its value). This means that the graph of a holomorphic function is smooth and does not have any singularities. For example, consider the function f(z) = z^2 + 1. This function has an infinite number of antiderivatives (since it can be
