Purchase Solution

Mittag-Leffler Theorem problem

Not what you're looking for?

Ask Custom Question

Problem: Obtain a partial fraction expansion of 1 / [(e^z) - 1].
I was told that the solution should be (1/z) - (1/2) + 2z summ inf;n=1 [1/
{(4n^2)(pi^2)+(z^2)}] z not = 0, +-2ipi,+-4ipi,
I need to get this solution with the Mittag-Leffler theorem, convergenc, and evaluating the constant.
I also know that 1 / [(e^z) - 1] = 1/2 + (i/2)cot(iz/2).

Purchase this Solution

Solution Summary

The expert examines Mittag-Leffler Theorem problems.

Solution Preview

The explanations are in the attached file.

Explanations:
Using the result for cot on page 214 of Hahn and Epstein, we ...

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.

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.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts