List questions from asymptotics

44

Views

Why am I getting two different convergence radii for the Taylor series of the Lambert W function at 0?

Published on 08 Apr 2026 - 11:37

239

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Limiting forms for modified Bessel functions of the 2nd kind when $x \to 0$

Published on 29 Mar 2026 - 2:47

52

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Proving or disproving: $\frac{O(f(n))}{O(g(n))}=\frac{\Omega(f(n))}{\Omega(g(n))}$

Published on 02 Apr 2026 - 21:40

18

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Landau Function finding Runtime recursive of irrational function.

Published on 08 Apr 2026 - 17:13

80

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What are the asymptotics of the solutions to $a_n\ ^{2} = (1 - a_n)a_{n-1} \ ^2$ as $n \to \infty$?

Published on 08 Apr 2026 - 7:33

192

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Find asymptotic distribution of $l(\hat{\theta_n}) - l(\theta_0)$

Published on 25 Mar 2026 - 10:21

279

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Find the asymptotic distribution of $nX_{(k)}$

Published on 26 Mar 2026 - 19:02

114

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Big-O notation, equality

Published on 08 Apr 2026 - 3:45

75

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Asymptotic estimation of a divergent integral

Published on 23 Feb 2026 - 13:36

63

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Estimating a sum of cosines related to random walk on $\mathbb{Z}_{n}^{n}$

Published on 25 Mar 2026 - 22:06

94

Views

Prove that $\log(x!)$ is $O(x\log x)$

Published on 30 Mar 2026 - 4:39

172

Views

Asymptotic distribution of U-statistic based "log-likelihood"

Published on 05 Apr 2020 - 20:54

35

Views

Heterodox asymptotics for the square root at the origin

Published on 25 Mar 2026 - 9:50

338

Views

Proof that the inverse of $\frac{x}{\ln x}$ is asymptotically equal to $x\ln x$

Published on 06 Apr 2020 - 13:58

50

Views

How do I show the limit of this iterative equation?

Published on 28 Mar 2026 - 8:49

List Question

Why am I getting two different convergence radii for the Taylor series of the Lambert W function at 0?

Limiting forms for modified Bessel functions of the 2nd kind when $x \to 0$

Proving or disproving: $\frac{O(f(n))}{O(g(n))}=\frac{\Omega(f(n))}{\Omega(g(n))}$

Landau Function finding Runtime recursive of irrational function.

What are the asymptotics of the solutions to $a_n\ ^{2} = (1 - a_n)a_{n-1} \ ^2$ as $n \to \infty$?

Find asymptotic distribution of $l(\hat{\theta_n}) - l(\theta_0)$

Find the asymptotic distribution of $nX_{(k)}$

Big-O notation, equality

Asymptotic estimation of a divergent integral

Estimating a sum of cosines related to random walk on $\mathbb{Z}_{n}^{n}$

Prove that $\log(x!)$ is $O(x\log x)$

Asymptotic distribution of U-statistic based "log-likelihood"

Heterodox asymptotics for the square root at the origin

Proof that the inverse of $\frac{x}{\ln x}$ is asymptotically equal to $x\ln x$

How do I show the limit of this iterative equation?

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