Purchase Solution

Power Series (I): Abel's Theorem

Not what you're looking for?

Ask Custom Question

Complex Variables
Power Series (I)

Abel's Theorem: ∞
If the power series ∑ an zn converges for a particular value zo of z, then it converges absolutely
n = 0
for every z for which &#9474;z&#9474;< &#9474;zo&#9474;.

See the attached file.

Purchase this Solution

Solution Summary

This solution is comprised of a detailed explanation of the Abel's Theorem in Power Series.
It contains step-by-step explanation for the following problem:

Solution provided by:
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
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.

Graphs and Functions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

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.