List questions from asymptotics

Published on 13 Apr 2026 - 18:03

70

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Big-Omega: $\forall x, y \in N: y \in \Omega(x) \rightarrow y^3 \in \Omega(x^3)$

Published on 13 Apr 2026 - 22:20

206

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Asymptotic analysis of non-linear ODE

Published on 05 May 2026 - 0:06

260

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Prove that $2^{n+100} = O(2^n)$

Published on 15 Apr 2026 - 7:46

221

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Signs and stochastic big O notation

Published on 08 Dec 2015 - 13:05

296

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Relation between Big O and convergence in limit of a sequence of probabilities

Published on 08 Dec 2015 - 19:02

152

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Asymptotic estimate of $\binom nk$

Published on 13 Apr 2026 - 17:17

102

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Linear convex combinations of $Li(x)=\int_2^x\frac{1}{\log(t)}dt$ and $\frac{x}{\log(x)}$, and prime counting function

Published on 16 Apr 2026 - 17:01

3k

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Behaviour of modified Bessel function of the second kind $K_{\nu}(x)$

Published on 11 Apr 2026 - 15:41

226

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Prove or disprove: $(\ln n)^2 \in O(\ln(n^2)).$

Published on 14 Apr 2026 - 19:33

697

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Behaviour of modified Bessel function of the first kind $I_{\nu}(x)$

Published on 10 Apr 2026 - 12:57

191

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A conditional asymptotic for $\sum_{\text{$p,p+2$ twin primes}}p^{\alpha}$, when $\alpha>-1$

Published on 30 Apr 2026 - 9:55

114

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Mathematical definitions of infill asymptotics

Published on 04 May 2026 - 13:44

77

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How to get asymptotic form of the integrals with special functions?

Published on 14 Apr 2026 - 3:04

2.8k

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Modified Bessel functions with negative argument

Published on 12 Apr 2026 - 2:19

List Question

Does sin(x)/x have a singularity at 0?

Big-Omega: $\forall x, y \in N: y \in \Omega(x) \rightarrow y^3 \in \Omega(x^3)$

Asymptotic analysis of non-linear ODE

Prove that $2^{n+100} = O(2^n)$

Signs and stochastic big O notation

Relation between Big O and convergence in limit of a sequence of probabilities

Asymptotic estimate of $\binom nk$

Linear convex combinations of $Li(x)=\int_2^x\frac{1}{\log(t)}dt$ and $\frac{x}{\log(x)}$, and prime counting function

Behaviour of modified Bessel function of the second kind $K_{\nu}(x)$

Prove or disprove: $(\ln n)^2 \in O(\ln(n^2)).$

Behaviour of modified Bessel function of the first kind $I_{\nu}(x)$

A conditional asymptotic for $\sum_{\text{$p,p+2$ twin primes}}p^{\alpha}$, when $\alpha>-1$

Mathematical definitions of infill asymptotics

How to get asymptotic form of the integrals with special functions?

Modified Bessel functions with negative argument

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