👉 In the context of mathematics, a prolongation is a function that can be extended to a new domain. This means that it becomes continuous on all of its original domain but may have discontinuities or singularities outside of this domain. For example, consider the function f(x) = x^2 - 4x + 3. We can extend this function to the complex plane by considering the following function: g(z) = z^2 - 4z + 3 This