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Power Series Derivatives & Complex Exponential by monu991 is a document available to read on EtoBox.
What is Power Series Derivatives & Complex Exponential about?
The document summarizes key points about power series and the complex exponential function: 1. If a power series F(z) = Σ anzn has radius of convergence R > 0, then F(z) is differentiable for |z| < R and the derivative is the power series Σ nancnzn-1. 2. The complex exponential function ez is defined as the power series Σ (zn/n!) for all z in C. 3. The complex exponential function ez is analytic on C, and its properties include: i) d/dz(ez) = ez, ii) ez1+z2 = ez1ez2,
- Author
- monu991
- Language
- EN