Question

Find the interval of convergence of the series $\sum_{n=0}^\infty ((-1)^n+3)^n(x-1)^n$.

score 55 · Answer 1 · 2020-07-21 00:19:48

55

Views

Find the interval of convergence of the series $\sum_{n=0}^\infty ((-1)^n+3)^n(x-1)^n$.

Published on 21 Jul 2020 - 0:19

score 76 · Answer 2 · 2026-03-26 06:42:46

76

Views

Show that the following power series satisfies this functional equation $f\left(\frac{2x}{1+x^2}\right)=(1+x^2)\,f(x)$.

Published on 26 Mar 2026 - 6:42

score 51 · Answer 3 · 2026-03-31 05:41:40

51

Views

Showing that $q=(z_1,z_2^2)$ is primary in $\mathcal O_2 $

Published on 31 Mar 2026 - 5:41

score 553 · Answer 4 · 2026-04-08 14:52:08

553

Views

Hankel function expansion for large arguement

Published on 08 Apr 2026 - 14:52

score 479 · Answer 5 · 2026-04-13 06:21:36

479

Views

Understanding notation and meaning of uniform convergence of a power series

Published on 13 Apr 2026 - 6:21

score 64 · Answer 6 · 2020-07-22 19:37:06

64

Views

Evaluating $\sum\limits_{i=\lceil \frac{n}{2}\rceil}^\infty\binom{2i}{n}\frac{1}{2^i}$

Published on 22 Jul 2020 - 19:37

score 64 · Answer 7 · 2026-03-26 09:38:17

64

Views

On Hypergeometric Series and OEIS Sequence

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score 114 · Answer 8 · 2026-04-13 06:38:35

114

Views

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Published on 13 Apr 2026 - 6:38

score 205 · Answer 9 · 2026-03-25 06:04:52

205

Views

Complete DVR containing a field isomorphic to residue field

Published on 25 Mar 2026 - 6:04

score 48 · Answer 10 · 2020-07-23 09:55:02

48

Views

The region of convergence of the series $\displaystyle \sum_{n=1}^\infty \frac{1}{2^{3^n}}(z^2-z)^{3^n}$

Published on 23 Jul 2020 - 9:55

score 109 · Answer 11 · 2026-04-12 22:13:20

109

Views

Summation involving Gamma function

Published on 12 Apr 2026 - 22:13

score 74 · Answer 12 · 2026-04-12 03:47:33

74

Views

How can I prove that $\sup(A) = \sup(B)$

Published on 12 Apr 2026 - 3:47

score 32 · Answer 13 · 2026-04-10 14:34:42

32

Views

Proof of equivalence of two statements about relationship between two generating functions

Published on 10 Apr 2026 - 14:34

score 79 · Answer 14 · 2020-07-26 07:22:59

79

Views

The region of convergence of the series $\sum_{n=1}^{\infty} \frac{(-1)^n n (x-1)^n}{(n^3+1)(3^n+1)}$.

Published on 26 Jul 2020 - 7:22

score 180 · Answer 15 · 2026-04-09 17:25:47

180

Views

General trick to factorize an inequality of the kind $a+b\leq 1$

Published on 09 Apr 2026 - 17:25

List Question

Find the interval of convergence of the series $\sum_{n=0}^\infty ((-1)^n+3)^n(x-1)^n$.

Show that the following power series satisfies this functional equation $f\left(\frac{2x}{1+x^2}\right)=(1+x^2)\,f(x)$.

Showing that $q=(z_1,z_2^2)$ is primary in $\mathcal O_2 $

Hankel function expansion for large arguement

Understanding notation and meaning of uniform convergence of a power series

Evaluating $\sum\limits_{i=\lceil \frac{n}{2}\rceil}^\infty\binom{2i}{n}\frac{1}{2^i}$

On Hypergeometric Series and OEIS Sequence

Closed formula for the sum $a^1+a^4+a^9...$

Complete DVR containing a field isomorphic to residue field

The region of convergence of the series $\displaystyle \sum_{n=1}^\infty \frac{1}{2^{3^n}}(z^2-z)^{3^n}$

Summation involving Gamma function

How can I prove that $\sup(A) = \sup(B)$

Proof of equivalence of two statements about relationship between two generating functions

The region of convergence of the series $\sum_{n=1}^{\infty} \frac{(-1)^n n (x-1)^n}{(n^3+1)(3^n+1)}$.

General trick to factorize an inequality of the kind $a+b\leq 1$

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