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May
26
awarded  Notable Question
Apr
28
comment Simple calculus series question; convergence of $\sum_{j = -\infty}^{\infty} \frac{1}{z - j}$
Or the integral test right?
Apr
28
comment Simple calculus series question; convergence of $\sum_{j = -\infty}^{\infty} \frac{1}{z - j}$
Well it can't be $j \to \infty$ either because the increasing index is $j$
Apr
28
asked Simple calculus series question; convergence of $\sum_{j = -\infty}^{\infty} \frac{1}{z - j}$
Apr
28
comment Taylor/Laurent series question for $\cot(\pi z)$;where did $1/n$ come from?
Oh I think you mean to say $1/(z - n) \approx -1/z$
Apr
28
comment Taylor/Laurent series question for $\cot(\pi z)$;where did $1/n$ come from?
That one kind of works backwards.
Apr
28
comment Taylor/Laurent series question for $\cot(\pi z)$;where did $1/n$ come from?
"$because 1/(z−n)≈-1/n$ as $n\to \infty $", you mean to say $z\to \infty$?
Apr
28
asked Taylor/Laurent series question for $\cot(\pi z)$;where did $1/n$ come from?
Apr
28
comment Mittag-Leffler Proof. Rudin notation question and some basic real analysis/topology
3. I am trying to explain the blue box in my own words. Is it saying basically, $Q_1$ is the principal part and the $\sum ( R_n - Q_n)$ is the analytic part?
Apr
28
comment Mittag-Leffler Proof. Rudin notation question and some basic real analysis/topology
1.$$ \sum_{j = 1}^{\infty} \frac{a_{-m(j)} ^j}{(z-z_j)^{m(j)}} + \frac{a_{-m(j) + 1} ^j}{(z-z_j)^{m(j)-1}} + \dots + \dots \frac{a_{-1} ^j}{(z-z_j)}$$?
Apr
28
comment What is $P$ and $X$ is supposed to be in this analysis question?
Might I also ask why $g$ being uniform continuous implies the $\delta$ business?
Apr
28
revised Mittag-Leffler Proof. Rudin notation question and some basic real analysis/topology
added 72 characters in body
Apr
28
asked Mittag-Leffler Proof. Rudin notation question and some basic real analysis/topology
Apr
28
comment What is $P$ and $X$ is supposed to be in this analysis question?
Oh man I hpe u stick around for a another hour because i some more questions (about to post) lol
Apr
28
comment What is $P$ and $X$ is supposed to be in this analysis question?
Oh right because $\gamma$ are closed and bounded
Apr
28
comment What is $P$ and $X$ is supposed to be in this analysis question?
may i ask why is $g(w,z)$ uniformly continuous?
Apr
28
comment Proving that $|z-1|-|z+1|=1$ its an hyperbola, and $\Re(1-z)=|z|$ its an ellipse.
I think you have to write out the imaginary and real part then do some squaring.
Apr
28
asked What is $P$ and $X$ is supposed to be in this analysis question?
Apr
28
comment Existence of nice exhaustion - Rudin.
Are the points that are "at least $1/n$ away from $\partial \Omega$ inside $\Omega$? That's the picture I am getting.
Apr
28
comment Existence of nice exhaustion - Rudin.
I see, would yo be able to explain how one "easily verifies $D(z, r) \subset K_{n + 1}$"