Complex Functions Examples c-3 - Elementary Analytic Functions and Harmonic Functions

This is the third textbook containing examples from the Theory of Complex Functions. Some of the topics are examples of elementary analytic functions, like polynomials, fractional functions, exponential functions and the trigonometric and the hyperbolic functions.

This is the third book containing examples from the Theory of Complex Functions. The first topic will be examples of elementary analytic functions, like polynomials, fractional functions, exponential functions and the trigonometric and the hyperbolic functions. Then follow some examples of harmonic functions.

Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the first edition. It is my hope that the reader will show some understanding of my situation.

Leif Mejlbro

4th June 2008

Introduction

1. Some necessary theoretical results

2. Polynomials

3. Fractional functions

4. The exponential function and the logarithm function

5. Trigonometric and hyperbolic functions

6. Harmonic functions