Question

Growth analysis: fractional power functions dominate polylogarithmic?

score 797 · Answer 1 · 2026-04-09 09:31:12

797

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Growth analysis: fractional power functions dominate polylogarithmic?

Published on 09 Apr 2026 - 9:31

score 327 · Answer 2 · 2026-04-16 04:45:54

327

Views

Is $\lim S_{n,m}=\sum_{k=1}^n({-1})^k{n\choose k}k^{-m}<\infty $ for $ n \to \infty$ and $m$ large?

Published on 16 Apr 2026 - 4:45

score 459 · Answer 3 · 2026-04-11 05:29:04

459

Views

Asymptotic expansion of integral with hyperbolic functions

Published on 11 Apr 2026 - 5:29

score 260 · Answer 4 · 2026-04-12 23:35:34

260

Views

Asymptotic series of a matrix-valued function.

Published on 12 Apr 2026 - 23:35

score 253 · Answer 5 · 2026-04-11 21:31:26

253

Views

Integral and derivatives of the gamma function

Published on 11 Apr 2026 - 21:31

score 1.3k · Answer 6 · 2026-04-16 10:09:18

1.3k

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Which is greater as $n$ gets larger, $f(n)=2^{2^{2^n}}$ or $g(n)=100^{100^n}$?

Published on 16 Apr 2026 - 10:09

score 85 · Answer 7 · 2026-04-17 15:49:10

85

Views

Asymptotic probability that two integers are coprime

Published on 17 Apr 2026 - 15:49

score 67 · Answer 8 · 2026-04-10 20:37:45

67

Views

Sum over values of auxiliary function gets arbitrary big, justification

Published on 10 Apr 2026 - 20:37

score 152 · Answer 9 · 2026-04-17 02:32:05

152

Views

Asymptotic Expansion of $\ f(x)=(1-\beta \frac{ \log(\log(x))}{\log(x)})^{\beta}$

Published on 17 Apr 2026 - 2:32

score 122 · Answer 10 · 2026-04-11 13:03:53

122

Views

Can I find a good approximation of this function?

Published on 11 Apr 2026 - 13:03

score 798 · Answer 11 · 2026-04-12 11:52:36

798

Views

Asymptotic Behavior of a Sum with Binomial Coefficients

Published on 12 Apr 2026 - 11:52

score 3.5k · Answer 12 · 2026-04-16 11:53:41

3.5k

Views

$T(n) = 3T(n/3) + c$ using substitution, geometric series

Published on 16 Apr 2026 - 11:53

score 81 · Answer 13 · 2026-04-30 07:07:37

81

Views

Asymptotic Estimates for a Strange Sequence

Published on 30 Apr 2026 - 7:07

score 70 · Answer 14 · 2026-04-15 20:32:06

70

Views

What does it mean to say $f(x) \sim g(x)$, i.e. $f(x)$ behaves like $g(x)$ when $x \to \infty$?

Published on 15 Apr 2026 - 20:32

score 738 · Answer 15 · 2026-04-11 17:37:47

738

Views

Analytical approximation of integral of Bessel function

Published on 11 Apr 2026 - 17:37

List Question

Growth analysis: fractional power functions dominate polylogarithmic?

Is $\lim S_{n,m}=\sum_{k=1}^n({-1})^k{n\choose k}k^{-m}<\infty $ for $ n \to \infty$ and $m$ large?

Asymptotic expansion of integral with hyperbolic functions

Asymptotic series of a matrix-valued function.

Integral and derivatives of the gamma function

Which is greater as $n$ gets larger, $f(n)=2^{2^{2^n}}$ or $g(n)=100^{100^n}$?

Asymptotic probability that two integers are coprime

Sum over values of auxiliary function gets arbitrary big, justification

Asymptotic Expansion of $\ f(x)=(1-\beta \frac{ \log(\log(x))}{\log(x)})^{\beta}$

Can I find a good approximation of this function?

Asymptotic Behavior of a Sum with Binomial Coefficients

$T(n) = 3T(n/3) + c$ using substitution, geometric series

Asymptotic Estimates for a Strange Sequence

What does it mean to say $f(x) \sim g(x)$, i.e. $f(x)$ behaves like $g(x)$ when $x \to \infty$?

Analytical approximation of integral of Bessel function

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