A Series Representation of Analytically Continuous Complex Functions with Negative Powers
Devin Hardy · Research Square · 2023
Abstract First a proof of Taylor’s Theorem is established by Integration by Parts, and then generalization of the IBPformula to ℂ is used to derive Taylor’s Theorem for Complex numbers 𝑧. A similar method to that which is used toderive Taylor’s Theorem is used to derive a Complex valued series representation similar to the Taylor Series but fornegative powers.