JustDroppedIn

# 60 Questions

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6
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489
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### If $f$ is an entire function and $\displaystyle{\lim_{z \to \infty} \frac{f(z)}{z} = 0}$, prove that $f$ is constant.

Apr 15 '17 at 18:06 JustDroppedIn 2,608
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2
254
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4
2
254
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1
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3
216
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2
0
194
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### Exercise 7.19 from Papa Rudin: Gathering solutions

Jan 22 '18 at 12:19 JustDroppedIn 2,608

2
2
182
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1
vote
2
181
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0
0
165
views

### Question regarding tangent spaces of a Euclidean space

Dec 2 '17 at 10:29 JustDroppedIn 2,608

1
vote
2
146
views

2
0
142
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### Proving that the Cesaro means of Fourier sums for continuous $f$ converge uniformly to $f$

May 20 '18 at 22:57 egreg 189k
2
5
0
123
views

### Proving Riemann's Theorem through Casorati- Weierstrass

May 30 '17 at 12:59 JustDroppedIn 2,608
3
7
0
121
views

### Are there any other fields other than $\mathbb{R},\mathbb{C}$, rich enough to have analysis built on them?

Apr 25 '18 at 23:45 JustDroppedIn 2,608

2
0
117
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### Transient states of a Markov chain and average number of visits

Jun 20 '18 at 22:29 JustDroppedIn 2,608

3
1
116
views

0
2
112
views

1
3
1
110
views

1
1
vote
1
104
views

0
1
102
views

2
0
80
views

### On the classic exercise “$f\in C^\infty(\mathbb{R})$ s.t. $\forall x \exists n\in\mathbb{N}: f^{(n)}(x)=0$ implies $f$ is a polynomial”

Apr 22 '18 at 14:45 JustDroppedIn 2,608

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1
79
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-1
1
76
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2
2
74
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2
1
73
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1
0
0
72
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### Proving that the complement of $f(\Delta)$ is compact and connected

Jun 28 '18 at 14:28 JustDroppedIn 2,608

4
1
72
views

1
3