List questions from asymptotics

Published on 30 Mar 2026 - 16:10

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Determine whether the function floor(x) is big omega of x

Published on 30 Jul 2014 - 12:37

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Do asymptotically equivalent coefficients survive convolution at least in Θ?

Published on 28 Mar 2026 - 4:23

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What is the sign of the generalized Stieltjes constants $\gamma_{k}(a)$?

Published on 21 Mar 2026 - 5:42

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Computational complexity and the big $\mathcal{O}$

Published on 31 Jul 2014 - 16:23

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Why is $f(n) =\frac{n(n+1)(n+2)}{(n+3)}$ in $O(n^2)$?

Published on 28 Mar 2026 - 23:59

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Proving that, if a function f is O(g), the ceiling of f is also O(g).

Published on 01 Aug 2014 - 7:22

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Some conditions to obtain that $\int_1^{x}e^{f(t)}dt\sim_{x \rightarrow +\infty}\frac{\exp(f(x))}{f'(x)}$

Published on 02 Aug 2014 - 18:15

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Clarification: how to get the following asymptotics

Published on 03 Aug 2014 - 18:02

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Definition of $O (.) $ notation

Published on 03 Aug 2014 - 21:00

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Asymptotic behavior of $\sum\limits_{k=1}^n \frac{2^k}{k}$

Published on 05 Aug 2014 - 17:46

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The growth of the solution of the recursive relation $P(n)=\sum_{k=1}^{n-1} P(k) P(n-k)$

Published on 03 Apr 2026 - 17:33

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Asymptotics of coefficients $[x^n] \frac{1}{\Gamma(1+x)}$ as $n$ is great

Published on 25 Mar 2026 - 11:16

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When $\ln(1+y) = y + o(y)$?

Published on 29 Mar 2026 - 8:35

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Properties of Asymptotic series Expansion

Published on 08 Aug 2014 - 16:25

List Question

Lower bound for a relative of the central binomial coeff

Determine whether the function floor(x) is big omega of x

Do asymptotically equivalent coefficients survive convolution at least in Θ?

What is the sign of the generalized Stieltjes constants $\gamma_{k}(a)$?

Computational complexity and the big $\mathcal{O}$

Why is $f(n) =\frac{n(n+1)(n+2)}{(n+3)}$ in $O(n^2)$?

Proving that, if a function f is O(g), the ceiling of f is also O(g).

Some conditions to obtain that $\int_1^{x}e^{f(t)}dt\sim_{x \rightarrow +\infty}\frac{\exp(f(x))}{f'(x)}$

Clarification: how to get the following asymptotics

Definition of $O (.) $ notation

Asymptotic behavior of $\sum\limits_{k=1}^n \frac{2^k}{k}$

The growth of the solution of the recursive relation $P(n)=\sum_{k=1}^{n-1} P(k) P(n-k)$

Asymptotics of coefficients $[x^n] \frac{1}{\Gamma(1+x)}$ as $n$ is great

When $\ln(1+y) = y + o(y)$?

Properties of Asymptotic series Expansion

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