Article | REF: AF112 V1

Complex analysis - Holomorphic application theory

Author: Bernard RANDÉ

Publication date: April 10, 2000

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1. Derivability of a function of the complex variable

1.1 Definitions

Let z ₀ be an element of $ℂ$ (set of complex numbers), and f an application, defined on a neighborhood of z ₀ , with complex values.

Definition 1. f is said to be derivable in z ₀ when $\frac{f (z) - (z_{0})}{z - z_{0}}$ ...

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Derivability of a function of the complex variable