# Complex Analysis Problem (analytic and harmonic functions)

Not what you're looking for?

(a) Show that an analytic function f(z) defined in a simply connected domain Ω is constant if R(f(z)) (= the real part of f(z)) is constant throughout Ω.

(b) Let f(z) be analytic and non-vanishing in a domain Ω. Show that ln l f(z) l is a harmonic function in Ω.

Textbook:

"Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics" 3rd Edition, Saff and Snider, Prentice Hall.

##### Purchase this Solution

##### Solution Summary

This solution goes through a complex analysis problem which pertains to analytic and harmonic functions.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Probability Quiz

Some questions on probability

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.