# Integrating the Poisson Kernel

Not what you're looking for?

I have been trying several methods to try to integrate the following function:

Integral[Pa(theta)*d(theta)]

*Recall that Pa(theta) = (1-a^(2))/(1-2a*cos(theta) + a^(2)) and see the attached file for the proper notation.

I substituted 1/2(z+1/z) for cos (theta) and reduced the numerator to (az-1)(a-z) in hopes that there would be some type of cancelation to get it to an integral I can solve. I am looking for guidance on how to proceed.

Thank you.

##### Purchase this Solution

##### Solution Summary

This solution integrates the given function.

##### Solution Preview

We are going to transform the given integral into a line integral on the circle | z | = 1, using certain ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

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

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Graphs and Functions

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

##### 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.