Prove a meromorphic function is a rational function
Not what you're looking for?
1. Calculate residue for a complex function
2. Prove a meromorphic function on an extended complex plane is a rational function
If f has a pole of order M at p then:
(see attached)
using the above:
compute the residues at each singularity in the complex plane C for the following function
see attached
Purchase this Solution
Solution Summary
This solution helps calculate the residue for a complex function and prove a meromorphic function on an extended complex plane.
Solution Preview
Question #1
see attached
Question #2
Proof: Since f(z) is meromorphic on the extended complex plane, then it has only finite many poles, which can be assumed ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.