Two exercises in complex analysis
I am stuck on the attched two problems. I have no idea how to approach them.
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.
1 Attachment
Erdos
4.6K
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
- 461 views
- $8.00
Related Questions
- Let $f:U\subset\mathbb{R} ^3\rightarrow \mathbb{R} ^2$ given by $f(x,y,z)=(sin(x+z)+log(yz^2) ; e^{x+z} +yz)$ where $U = { (x, y, z) ∈ R^3| y, z > 0 }.$ Questions Inside.
- Banach fixed-point theorem and the map $Tf(x)=\int_0^x f(s)ds $ on $C[0,1]$
- Explain what the problem means in laymens terms.
- Prove that $\int _0^{\infty} \frac{1}{1+x^{2n}}dx=\frac{\pi}{2n}\csc (\frac{\pi}{2n})$
- Convergence and Holomorphicity of Series in Reinhardt Domains within Complex Analysis
- Suppose that $T \in L(V,W)$. Prove that if Img$(T)$ is dense in $W$ then $T^*$ is one-to-one.
- Element satisfying cubic equation in degree $5$ extension
- Compute $$\oint_{|z-2|=2} \frac{\cos e^z}{z^2-4}dz$$