Question

Asymptotic behaviour of an oscillating integral with Bessel functions

score 113 · Answer 1 · 2026-04-15 00:27:35

113

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Asymptotic behaviour of an oscillating integral with Bessel functions

Published on 15 Apr 2026 - 0:27

score 99 · Answer 2 · 2026-04-15 16:47:51

99

Views

Decay bound on $\int_0^1 (1 - x^r) \cos(kx) dx$.

Published on 15 Apr 2026 - 16:47

score 86 · Answer 3 · 2026-04-13 00:38:04

86

Views

Proving two averages are asymptotically equivalent

Published on 13 Apr 2026 - 0:38

score 39 · Answer 4 · 2026-04-14 02:38:19

39

Views

Question about the definition of asymptotic equivalence

Published on 14 Apr 2026 - 2:38

score 57 · Answer 5 · 2026-04-16 07:58:39

57

Views

Why is the time complexity of checking parity of integer $O(1)$?

Published on 16 Apr 2026 - 7:58

score 97 · Answer 6 · 2026-04-14 11:29:33

97

Views

How do you compute the limit $\lim\limits_{x \to \infty}\frac{e^{\sqrt{\ln x}}}{x}$ for integers $x$?

Published on 14 Apr 2026 - 11:29

score 49 · Answer 7 · 2026-04-15 14:47:07

49

Views

Big O complexity of $T(n)=2T(n/2)+\log(n)$

Published on 15 Apr 2026 - 14:47

score 114 · Answer 8 · 2026-04-16 02:54:19

114

Views

What is larger for large n: $(n!)^{n^n}$ or $(n^n)!$?

Published on 16 Apr 2026 - 2:54

score 312 · Answer 9 · 2026-04-14 16:50:13

312

Views

An accurate, rapidly converging estimate of $\sum_{j = 1}^{\infty}\frac 1 {j^2}$ (the Basel Problem) using only elementary calculus

Published on 14 Apr 2026 - 16:50

score 22 · Answer 10 · 2026-04-14 05:18:00

22

Views

Are the following symptotic analyses of two functions correct?

Published on 14 Apr 2026 - 5:18

score 23 · Answer 11 · 2026-04-13 10:31:19

23

Views

Big-oh of non-polynomial functions

Published on 13 Apr 2026 - 10:31

score 29 · Answer 12 · 2026-04-15 18:54:53

29

Views

Asymptotic behavior of convex functions at $+\infty$ w.r.t $x^p$.

Published on 15 Apr 2026 - 18:54

score 64 · Answer 13 · 2026-04-16 01:19:16

64

Views

Asymptotic probability of repeating uniform values being less than a threshold

Published on 16 Apr 2026 - 1:19

score 53 · Answer 14 · 2026-04-16 11:21:28

53

Views

Decay of the Fourier transform of the indicator of the unit $\ell^p$ ball when $p < 1$.

Published on 16 Apr 2026 - 11:21

score 41 · Answer 15 · 2026-04-11 13:53:08

41

Views

How fast does a holomorphic function have to decay at $\infty$ in order to satisfy Titchmarsh's theorem?

Published on 11 Apr 2026 - 13:53

List Question

Asymptotic behaviour of an oscillating integral with Bessel functions

Decay bound on $\int_0^1 (1 - x^r) \cos(kx) dx$.

Proving two averages are asymptotically equivalent

Question about the definition of asymptotic equivalence

Why is the time complexity of checking parity of integer $O(1)$?

How do you compute the limit $\lim\limits_{x \to \infty}\frac{e^{\sqrt{\ln x}}}{x}$ for integers $x$?

Big O complexity of $T(n)=2T(n/2)+\log(n)$

What is larger for large n: $(n!)^{n^n}$ or $(n^n)!$?

An accurate, rapidly converging estimate of $\sum_{j = 1}^{\infty}\frac 1 {j^2}$ (the Basel Problem) using only elementary calculus

Are the following symptotic analyses of two functions correct?

Big-oh of non-polynomial functions

Asymptotic behavior of convex functions at $+\infty$ w.r.t $x^p$.

Asymptotic probability of repeating uniform values being less than a threshold

Decay of the Fourier transform of the indicator of the unit $\ell^p$ ball when $p < 1$.

How fast does a holomorphic function have to decay at $\infty$ in order to satisfy Titchmarsh's theorem?

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