Question

How does one compute the reciprocal of $\cos(z)=\sum_{n=0}^{\infty}(-1)^n\frac{z^{2n}}{2n!}$

score 295 · Answer 1 · 2018-05-10 21:45:34

295

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How does one compute the reciprocal of $\cos(z)=\sum_{n=0}^{\infty}(-1)^n\frac{z^{2n}}{2n!}$

Published on 10 May 2018 - 21:45

score 207 · Answer 2 · 2026-03-25 17:22:27

207

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Explicit formula of Fourier Transform of $e^{-\pi x^4}$.

Published on 25 Mar 2026 - 17:22

score 129 · Answer 3 · 2018-05-12 09:03:24

129

Views

Proving the radius of convergence for power series

Published on 12 May 2018 - 9:03

score 297 · Answer 4 · 2018-05-13 06:56:54

297

Views

Prove that, $\lim_{n \to \infty} n^{1 \over \sqrt n}= 1$

Published on 13 May 2018 - 6:56

score 596 · Answer 5 · 2026-03-26 21:10:24

596

Views

Finding the sum of the infinite series $\sum^{\infty}_{k=1} \frac{k-1}{k!}$

Published on 26 Mar 2026 - 21:10

score 119 · Answer 6 · 2018-05-13 21:21:11

119

Views

Find the radius of convergence of the power series $\sum_{n=1}^\infty 2^{n^2} \: x^{n!}$

Published on 13 May 2018 - 21:21

score 33 · Answer 7 · 2026-03-25 21:54:03

33

Views

Power series (Laurent series), in a disk $B_1(0)$ , of $\frac{1}{(1-z)^m}$ where $m\in N$

Published on 25 Mar 2026 - 21:54

score 363 · Answer 8 · 2018-05-16 20:10:37

363

Views

Taylor Expansion Of $\frac{1}{z}$ at $z=3$

Published on 16 May 2018 - 20:10

score 52 · Answer 9 · 2018-05-18 12:59:52

52

Views

Strategy or software for representing infinite series in sigma form

Published on 18 May 2018 - 12:59

score 373 · Answer 10 · 2018-05-19 07:32:38

373

Views

Counter example for Stolz sector in complex version of Abel's Theorem

Published on 19 May 2018 - 7:32

score 355 · Answer 11 · 2026-03-25 00:41:24

355

Views

Find exact solution of Cauchy Problem using the convergence of a sequence defined by Fixed Point Theorem

Published on 25 Mar 2026 - 0:41

score 55 · Answer 12 · 2026-03-25 19:25:20

55

Views

Find the primitive function of $\sum_{n=1}^{\infty}\frac{(-1)^n(2n+2)}{n!}(x-1)^{2n+1}$

Published on 25 Mar 2026 - 19:25

score 2.3k · Answer 13 · 2018-05-19 19:00:32

2.3k

Views

ODE power series solution $y'+xy=1+x$

Published on 19 May 2018 - 19:00

score 60 · Answer 14 · 2018-05-20 00:13:56

60

Views

For which $ \ x \in \mathbb{R} \ $ the following series converge?

Published on 20 May 2018 - 0:13

score 120 · Answer 15 · 2018-05-20 09:22:50

120

Views

Prove: the radius of convergence of the series $\sum_{k=1}^{\infty}a_kx^{n_k}$ is $R^L$.

Published on 20 May 2018 - 9:22

List Question

How does one compute the reciprocal of $\cos(z)=\sum_{n=0}^{\infty}(-1)^n\frac{z^{2n}}{2n!}$

Explicit formula of Fourier Transform of $e^{-\pi x^4}$.

Proving the radius of convergence for power series

Prove that, $\lim_{n \to \infty} n^{1 \over \sqrt n}= 1$

Finding the sum of the infinite series $\sum^{\infty}_{k=1} \frac{k-1}{k!}$

Find the radius of convergence of the power series $\sum_{n=1}^\infty 2^{n^2} \: x^{n!}$

Power series (Laurent series), in a disk $B_1(0)$ , of $\frac{1}{(1-z)^m}$ where $m\in N$

Taylor Expansion Of $\frac{1}{z}$ at $z=3$

Strategy or software for representing infinite series in sigma form

Counter example for Stolz sector in complex version of Abel's Theorem

Find exact solution of Cauchy Problem using the convergence of a sequence defined by Fixed Point Theorem

Find the primitive function of $\sum_{n=1}^{\infty}\frac{(-1)^n(2n+2)}{n!}(x-1)^{2n+1}$

ODE power series solution $y'+xy=1+x$

For which $ \ x \in \mathbb{R} \ $ the following series converge?

Prove: the radius of convergence of the series $\sum_{k=1}^{\infty}a_kx^{n_k}$ is $R^L$.

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