Question

Let $f$ be a holomorphic function in an open $D \subset \mathbb C$ except for a sequence {$p_n$} of poles. Show that ...

score 113 · Answer 1 · 2022-08-10 22:53:33

113

Views

Let $f$ be a holomorphic function in an open $D \subset \mathbb C$ except for a sequence {$p_n$} of poles. Show that ...

Published on 10 Aug 2022 - 22:53

score 93 · Answer 2 · 2022-08-12 04:30:23

93

Views

Find common element of two arithmetic sequences that does not have differential?

Published on 12 Aug 2022 - 4:30

score 140 · Answer 3 · 2026-02-26 14:07:11

140

Views

Picard Iteration: Proof of point wise convergence for system $f(y)=y^2$

Published on 26 Feb 2026 - 14:07

score 77 · Answer 4 · 2022-08-23 07:07:09

77

Views

Closed unit ball of a closure of convex hull.

Published on 23 Aug 2022 - 7:07

score 50 · Answer 5 · 2022-08-24 11:22:03

50

Views

Can’t figure out whether a sequence of functions converges uniformly.

Published on 24 Aug 2022 - 11:22

score 52 · Answer 6 · 2022-09-03 18:21:36

52

Views

Constructing a sequence $\{ f_n \} \subset C_{c}[0,1]$ such that ..

Published on 03 Sep 2022 - 18:21

score 46 · Answer 7 · 2022-09-04 03:50:15

46

Views

A more succinct way of showing that $\{f_n(x)\}_n$ does not converge for any $x \in [0,1].$

Published on 04 Sep 2022 - 3:50

score 44 · Answer 8 · 2022-09-10 20:44:15

44

Views

Question regarding a step in Wikipedia's proof of the Radon-Nikodym Theorem

Published on 10 Sep 2022 - 20:44

score 294 · Answer 9 · 2022-09-11 09:44:00

294

Views

convergence of function series using Weierstrass M-test

Published on 11 Sep 2022 - 9:44

score 45 · Answer 10 · 2022-10-02 14:46:52

45

Views

limit $\frac{\sqrt{t_n^2+1}-\sqrt{s_n^2+1}}{t_n-s_n}$ as $t_n-s_n \to + \infty$, where $t_n > s_n, \forall n.$

Published on 02 Oct 2022 - 14:46

score 21 · Answer 11 · 2022-10-02 17:13:05

21

Views

$\frac{1}{t_n-s_n}(-t_ne^{-t_n}-e^{-t_n}+s_ne^{-s_n}+e^{-s_n}) \to 0$, as $t_n-s_n \to +\infty$

Published on 02 Oct 2022 - 17:13

score 68 · Answer 12 · 2022-10-03 06:00:22

68

Views

No generalization of subadditivity for limit superior like Fatou's lemma.

Published on 03 Oct 2022 - 6:00

score 30 · Answer 13 · 2022-10-06 10:56:36

30

Views

Divergence of sequences and associated rate

Published on 06 Oct 2022 - 10:56

score 18 · Answer 14 · 2022-10-20 22:00:49

18

Views

equality of limits related to harmonic numbers

Published on 20 Oct 2022 - 22:00

score 341 · Answer 15 · 2022-10-24 01:37:30

341

Views

When does $f_n = f(x + 1/n)$, uniformly converge to $f$?

Published on 24 Oct 2022 - 1:37

List Question

Let $f$ be a holomorphic function in an open $D \subset \mathbb C$ except for a sequence {$p_n$} of poles. Show that ...

Find common element of two arithmetic sequences that does not have differential?

Picard Iteration: Proof of point wise convergence for system $f(y)=y^2$

Closed unit ball of a closure of convex hull.

Can’t figure out whether a sequence of functions converges uniformly.

Constructing a sequence $\{ f_n \} \subset C_{c}[0,1]$ such that ..

A more succinct way of showing that $\{f_n(x)\}_n$ does not converge for any $x \in [0,1].$

Question regarding a step in Wikipedia's proof of the Radon-Nikodym Theorem

convergence of function series using Weierstrass M-test

limit $\frac{\sqrt{t_n^2+1}-\sqrt{s_n^2+1}}{t_n-s_n}$ as $t_n-s_n \to + \infty$, where $t_n > s_n, \forall n.$

$\frac{1}{t_n-s_n}(-t_ne^{-t_n}-e^{-t_n}+s_ne^{-s_n}+e^{-s_n}) \to 0$, as $t_n-s_n \to +\infty$

No generalization of subadditivity for limit superior like Fatou's lemma.

Divergence of sequences and associated rate

equality of limits related to harmonic numbers

When does $f_n = f(x + 1/n)$, uniformly converge to $f$?

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