Principal Value and Principal Branch of an Integrand
Not what you're looking for?
Use parametric representation in exercise 10 for the oriented circle C0 there to show that....where a is any real number other than zero and where the principal branch of the integrand and where the principal value of R^G are taken.
Please see the attached file for the fully formatted problems.
Purchase this Solution
Solution Summary
An integral is solved using the principal value and principal branch of an integrand.
Solution Preview
Ok the change of varibale is this:
z=z0+Rexp(i*theta) ---> dz=i*R*exp(i*theta)*dtheta and naturally:
-Pi < theta < Pi, so:
int((z-z0)^(a-1)dz)= ...
Purchase this Solution
Free BrainMass Quizzes
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
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.