Question

Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

score 113 · Answer 1 · 2026-03-25 22:05:21

113

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Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

Published on 25 Mar 2026 - 22:05

score 120 · Answer 2 · 2026-04-15 00:25:11

120

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Approximating $(\log n)^n$ using Big O notation

Published on 15 Apr 2026 - 0:25

score 43 · Answer 3 · 2026-04-16 08:16:14

43

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How to show that $O(\sum_1^{\infty} n^{1-{2\sigma}} e^{-\delta n} \sum_1^{n/2} 1/r )=O({\delta}^{2 \sigma -2} \log \dfrac{1}{\delta})$?

Published on 16 Apr 2026 - 8:16

score 63 · Answer 4 · 2026-04-25 07:07:05

63

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Recurrence with a power of log, finding big O

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score 55 · Answer 5 · 2026-04-14 10:48:00

55

Views

Asymptotic Behaviors of Hypergeometric function for two large parameters

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score 44 · Answer 6 · 2026-04-17 09:00:36

44

Views

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score 61 · Answer 7 · 2026-03-25 14:22:41

61

Views

Is my proof wrong for: $n^k \in O(2^n) \text{ for any constant } k$

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score 51 · Answer 8 · 2026-04-09 07:43:45

51

Views

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score 27 · Answer 9 · 2026-04-11 21:39:05

27

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score 45 · Answer 10 · 2026-04-12 23:48:02

45

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score 66 · Answer 11 · 2026-04-11 23:03:01

66

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score 50 · Answer 12 · 2026-04-14 05:18:49

50

Views

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score 45 · Answer 13 · 2026-04-25 05:19:36

45

Views

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score 29 · Answer 14 · 2026-03-25 14:28:45

29

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score 54 · Answer 15 · 2026-04-11 16:14:14

54

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Published on 11 Apr 2026 - 16:14

List Question

Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

Approximating $(\log n)^n$ using Big O notation

How to show that $O(\sum_1^{\infty} n^{1-{2\sigma}} e^{-\delta n} \sum_1^{n/2} 1/r )=O({\delta}^{2 \sigma -2} \log \dfrac{1}{\delta})$?

Recurrence with a power of log, finding big O

Asymptotic Behaviors of Hypergeometric function for two large parameters

Deriving asymptotic for the roots of Digamma Function

Is my proof wrong for: $n^k \in O(2^n) \text{ for any constant } k$

Combinatorial explanation of Catalan asymptotics

Asymptotic Equivalence on a subset of Natural Numbers

Weak convergence of dependent variables

Count lattice points enclosed in curve

Tighten Corollary of Dirichlet's Simultaneous Approximation Bound (d = 3)

Asymptotical condition on $k$ such that an inequality with binomial coefficients holds

$q$-derivative satisfying linear approximation characterization

Big O Multiplication by Constant

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