Question

Limit of sum of ratios of gamma function like products

score 44 · Answer 1 · 2026-04-14 01:42:54

44

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Limit of sum of ratios of gamma function like products

Published on 14 Apr 2026 - 1:42

score 135 · Answer 2 · 2026-04-15 23:10:03

135

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Solve for $m(t)$ in the integral transform $\int_0^1(1-t^n) m(t) dt=\frac{(n+1)^n}{n^{n-1}} $ for $n>0$.

Published on 15 Apr 2026 - 23:10

score 48 · Answer 3 · 2026-04-11 23:09:03

48

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Example of function which behaves linearly on $[0,1]$ and admits an asymptote as $x\to \infty$

Published on 11 Apr 2026 - 23:09

score 593 · Answer 4 · 2026-04-15 13:25:05

593

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Asymptotic rate of decay of the integrals

Published on 15 Apr 2026 - 13:25

score 272 · Answer 5 · 2026-04-28 05:02:04

272

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$0 \leq C + \sum_{n=1}^{+\infty} \frac{x^n}{(n+1)^n} $ ,where $C = 1.036055393...$ is the best possible constant.

Published on 28 Apr 2026 - 5:02

score 108 · Answer 6 · 2026-04-12 21:15:42

108

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Asymptotic Behavior of Riemann Zeta Function

Published on 12 Apr 2026 - 21:15

score 127 · Answer 7 · 2026-04-14 00:42:53

127

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What is the asymptotic expansion of the integral $\int_{-\infty}^{\infty} \frac{\tanh{(x^2-a^2)}}{x^2-a^2} dx$ in the limit of large $a$?

Published on 14 Apr 2026 - 0:42

score 54 · Answer 8 · 2026-04-15 21:22:02

54

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Conjecture about $ f(x,v) = 1 + \sum_{n=1}^\infty {x^n \over t(v n) } > 0 $ for all real $x$

Published on 15 Apr 2026 - 21:22

score 32 · Answer 9 · 2026-04-28 05:01:31

32

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Taylor polynomial with little-$o$ inside, and derivative of little-$o$

Published on 28 Apr 2026 - 5:01

score 65 · Answer 10 · 2026-04-14 00:25:05

65

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Asymptotic behavior of $\int_0^\infty e^{i\alpha \xi^2} e^{-\beta \xi} e^{ix \xi} d\xi$

Published on 14 Apr 2026 - 0:25

score 51 · Answer 11 · 2026-03-25 16:03:39

51

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Is there a notion of different level of asymptotic equivalence?

Published on 25 Mar 2026 - 16:03

score 42 · Answer 12 · 2026-04-16 18:52:41

42

Views

Equivalent conditions for $f(n-o(f(n)))\sim f(n)$

Published on 16 Apr 2026 - 18:52

score 66 · Answer 13 · 2026-04-16 14:58:33

66

Views

Show if $f(n)$ has polynomial growth and $g(n)=\Theta(f(n))$, then $g(n)$ also has polynomial growth

Published on 16 Apr 2026 - 14:58

score 50 · Answer 14 · 2026-04-08 23:28:30

50

Views

Integration of asymptotic expansion

Published on 08 Apr 2026 - 23:28

score 80 · Answer 15 · 2026-04-18 10:18:52

80

Views

Asymptotic density of certain class of finite groups (Solvable, Nilpotent, $p$-Group, etc).

Published on 18 Apr 2026 - 10:18

List Question

Limit of sum of ratios of gamma function like products

Solve for $m(t)$ in the integral transform $\int_0^1(1-t^n) m(t) dt=\frac{(n+1)^n}{n^{n-1}} $ for $n>0$.

Example of function which behaves linearly on $[0,1]$ and admits an asymptote as $x\to \infty$

Asymptotic rate of decay of the integrals

$0 \leq C + \sum_{n=1}^{+\infty} \frac{x^n}{(n+1)^n} $ ,where $C = 1.036055393...$ is the best possible constant.

Asymptotic Behavior of Riemann Zeta Function

What is the asymptotic expansion of the integral $\int_{-\infty}^{\infty} \frac{\tanh{(x^2-a^2)}}{x^2-a^2} dx$ in the limit of large $a$?

Conjecture about $ f(x,v) = 1 + \sum_{n=1}^\infty {x^n \over t(v n) } > 0 $ for all real $x$

Taylor polynomial with little-$o$ inside, and derivative of little-$o$

Asymptotic behavior of $\int_0^\infty e^{i\alpha \xi^2} e^{-\beta \xi} e^{ix \xi} d\xi$

Is there a notion of different level of asymptotic equivalence?

Equivalent conditions for $f(n-o(f(n)))\sim f(n)$

Show if $f(n)$ has polynomial growth and $g(n)=\Theta(f(n))$, then $g(n)$ also has polynomial growth

Integration of asymptotic expansion

Asymptotic density of certain class of finite groups (Solvable, Nilpotent, $p$-Group, etc).

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