Question

Does $ \sum_{k=1}^{n} \frac{(n-k)^k}{k!} $ have a closed-form expression in terms of $n \in \mathbb{N}$?

score 258 · Answer 1 · 2022-06-02 00:08:40

258

Views

Does $ \sum_{k=1}^{n} \frac{(n-k)^k}{k!} $ have a closed-form expression in terms of $n \in \mathbb{N}$?

Published on 02 Jun 2022 - 0:08

score 458 · Answer 2 · 2022-06-08 19:53:04

458

Views

Absolutely convergent series implies being an analytic function

Published on 08 Jun 2022 - 19:53

score 106 · Answer 3 · 2026-03-26 04:14:47

106

Views

A power series that converges conditionally for all points on the radius of convergence?

Published on 26 Mar 2026 - 4:14

score 98 · Answer 4 · 2022-06-16 03:11:49

98

Views

Let ${a_n}_{n \in \mathbb Z_+}$ be a sequence of complex numbers. Suppose $Z_+ = \cup_1^{\infty} B_k$...

Published on 16 Jun 2022 - 3:11

score 65 · Answer 5 · 2026-03-07 18:25:24

65

Views

How can I calculate at which distance a moving object stops in this physics emulation?

Published on 07 Mar 2026 - 18:25

score 271 · Answer 6 · 2026-03-26 04:53:39

271

Views

Is there a sequence so that $\sum |a_n|=\infty$ and $\sum a_n \cos(nx)$ and $\sum a_n \sin(nx)$ converge everywhere?

Published on 26 Mar 2026 - 4:53

score 152 · Answer 7 · 2022-07-05 21:59:33

152

Views

Find it's radius of convergence, interval of convergence of the power series $\sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x+2)^n}{n2^n}$

Published on 05 Jul 2022 - 21:59

score 56 · Answer 8 · 2022-07-21 01:19:07

56

Views

Absolutely convergence of sum of a sequence of complex numbers over an arbitrary set

Published on 21 Jul 2022 - 1:19

score 26 · Answer 9 · 2022-07-26 16:51:17

26

Views

absolutely convergent integral and an additional question on asymptotics

Published on 26 Jul 2022 - 16:51

score 46 · Answer 10 · 2022-08-29 13:15:51

46

Views

A question related to a metric space

Published on 29 Aug 2022 - 13:15

score 56 · Answer 11 · 2022-08-30 05:39:30

56

Views

How to prove the convergence of the cross entropy?

Published on 30 Aug 2022 - 5:39

score 75 · Answer 12 · 2022-08-31 12:02:44

75

Views

Finding the sum of an absolutely convergent series

Published on 31 Aug 2022 - 12:02

score 266 · Answer 13 · 2026-03-28 02:08:00

266

Views

Why does absolute convergence allow the order of summation to be changed? (Laurent expansion of the Weierstrass $\wp$-function)

Published on 28 Mar 2026 - 2:08

score 62 · Answer 14 · 2022-09-18 08:59:34

62

Views

Absolute convergence of series with cosines

Published on 18 Sep 2022 - 8:59

score 56 · Answer 15 · 2022-09-21 13:47:03

56

Views

Why does $E|X|=\infty$ imply $EX=\infty$?

Published on 21 Sep 2022 - 13:47

List Question

Does $ \sum_{k=1}^{n} \frac{(n-k)^k}{k!} $ have a closed-form expression in terms of $n \in \mathbb{N}$?

Absolutely convergent series implies being an analytic function

A power series that converges conditionally for all points on the radius of convergence?

Let ${a_n}_{n \in \mathbb Z_+}$ be a sequence of complex numbers. Suppose $Z_+ = \cup_1^{\infty} B_k$...

How can I calculate at which distance a moving object stops in this physics emulation?

Is there a sequence so that $\sum |a_n|=\infty$ and $\sum a_n \cos(nx)$ and $\sum a_n \sin(nx)$ converge everywhere?

Find it's radius of convergence, interval of convergence of the power series $\sum_{n=1}^{\infty} \frac{(-1)^{n+1}(x+2)^n}{n2^n}$

Absolutely convergence of sum of a sequence of complex numbers over an arbitrary set

absolutely convergent integral and an additional question on asymptotics

A question related to a metric space

How to prove the convergence of the cross entropy?

Finding the sum of an absolutely convergent series

Why does absolute convergence allow the order of summation to be changed? (Laurent expansion of the Weierstrass $\wp$-function)

Absolute convergence of series with cosines

Why does $E|X|=\infty$ imply $EX=\infty$?

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