Calculating the residues at the poles of $f(z) = \frac{\tan(z) }{z^2 + z +1} $
Should one start by factoring the denominator ? Then using a theorem from complex analysis about the residues at the poles of functions of the form p(z)/q(z)?
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
642
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 247 views
- $10.00
Related Questions
- Show that $\Delta \log (|f(z)|)=0$, where $f(z)$ is an analytic function.
- Suppose that $T \in L(V,W)$. Prove that if Img$(T)$ is dense in $W$ then $T^*$ is one-to-one.
- Prove that $\int_{-\infty}^{\infty}\frac{\cos ax}{x^4+1}dx=\frac{\pi}{2}e^{-\frac{a}{\sqrt{2}}}(\cos \frac{a}{\sqrt{2}}+\sin \frac{a}{\sqrt{2}} )$
- Use Rouche’s Theorem to show that all roots of $z ^6 + (1 + i)z + 1 = 0$ lines inside the annulus $ \frac{1}{2} \leq |z| \leq \frac{5}{4}$
- Complex Variables
- Fixed points of analytic complex functions on unit disk $\mathbb{D}$
- Advanced Modeling Scenario
- Rouche’s Theorem applied to the complex valued function $f(z) = z^6 + \cos z$
I didn't create the proper deadline, but I would like to have this done ASAP.
Not possible, I accepted this because of deadline 23 hours I am outside ! You can delete the post of you want to
@ Aman R: A question can not be deleted after it has been accepted. Please submit a blank solution, and all funded will be refunded.
Okay thank you