Question

Radius of convergence continuous in coefficients

score 40 · Answer 1 · 2019-07-04 13:45:34

40

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Radius of convergence continuous in coefficients

Published on 04 Jul 2019 - 13:45

score 78 · Answer 2 · 2019-07-04 15:23:43

78

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How to study convergence of this series?

Published on 04 Jul 2019 - 15:23

score 79 · Answer 3 · 2026-03-27 18:27:41

79

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Can we have a series representation of order $5$ at $x=0$ of the inverse function of $xe^{x^{2}}$?

Published on 27 Mar 2026 - 18:27

score 73 · Answer 4 · 2019-07-05 19:03:21

73

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Find $\sum_{n=0}^\infty\frac{S_n}{(n+1)!}$ if $S_n$ is the sum of the products of the first $n$ natural numbers taken two at a time

Published on 05 Jul 2019 - 19:03

score 65 · Answer 5 · 2019-07-08 20:30:39

65

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Domain of convergence of derived series (several complex variables)

Published on 08 Jul 2019 - 20:30

score 135 · Answer 6 · 2026-04-02 17:06:56

135

Views

Asymptotics of Binomial Transform of a Sequence

Published on 02 Apr 2026 - 17:06

score 216 · Answer 7 · 2026-03-29 19:33:05

216

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Prove or disprove that every real number has a unique negabinary representation

Published on 29 Mar 2026 - 19:33

score 647 · Answer 8 · 2026-02-24 00:44:08

647

Views

Getting from series solutions of Airy's equation to the Airy functions Ai(x) and Bi(x)

Published on 24 Feb 2026 - 0:44

score 75 · Answer 9 · 2026-04-02 07:55:57

75

Views

Is there a formula for the coefficients in the expansion of $\frac1{e}(1+1/x)^x$?

Published on 02 Apr 2026 - 7:55

score 113 · Answer 10 · 2019-07-14 12:50:52

113

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Radius of convergence of $\sum_{n=0}^\infty a_n x^n$, with $a_{n+2} = \frac{n(n+1) a_{n+1} - a_n}{(n+2)(n+1)}, a_2 = -a_0/2$

Published on 14 Jul 2019 - 12:50

score 247 · Answer 11 · 2026-04-02 13:58:53

247

Views

Mary L Boas Ch1, Section 15, Problem 29

Published on 02 Apr 2026 - 13:58

score 71 · Answer 12 · 2019-07-14 23:09:54

71

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Matrix series with Hadamard products

Published on 14 Jul 2019 - 23:09

score 132 · Answer 13 · 2019-07-16 01:10:17

132

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Power series such that the $n$-th partial sum has $n$ distinct roots

Published on 16 Jul 2019 - 1:10

score 70 · Answer 14 · 2019-07-16 11:56:39

70

Views

Do automorphisms preserve convergence of power series?

Published on 16 Jul 2019 - 11:56

score 41 · Answer 15 · 2019-07-18 17:43:18

41

Views

Find the power series for a shifted center

Published on 18 Jul 2019 - 17:43

List Question

Radius of convergence continuous in coefficients

How to study convergence of this series?

Can we have a series representation of order $5$ at $x=0$ of the inverse function of $xe^{x^{2}}$?

Find $\sum_{n=0}^\infty\frac{S_n}{(n+1)!}$ if $S_n$ is the sum of the products of the first $n$ natural numbers taken two at a time

Domain of convergence of derived series (several complex variables)

Asymptotics of Binomial Transform of a Sequence

Prove or disprove that every real number has a unique negabinary representation

Getting from series solutions of Airy's equation to the Airy functions Ai(x) and Bi(x)

Is there a formula for the coefficients in the expansion of $\frac1{e}(1+1/x)^x$?

Radius of convergence of $\sum_{n=0}^\infty a_n x^n$, with $a_{n+2} = \frac{n(n+1) a_{n+1} - a_n}{(n+2)(n+1)}, a_2 = -a_0/2$

Mary L Boas Ch1, Section 15, Problem 29

Matrix series with Hadamard products

Power series such that the $n$-th partial sum has $n$ distinct roots

Do automorphisms preserve convergence of power series?

Find the power series for a shifted center

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