Question

When $\alpha \to \infty$, how to obtain these expansions, through asymptotic analysis, Taylor expansion or limit calculation.

score 28 · Answer 1 · 2026-04-13 02:40:15

28

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When $\alpha \to \infty$, how to obtain these expansions, through asymptotic analysis, Taylor expansion or limit calculation.

Published on 13 Apr 2026 - 2:40

score 60 · Answer 2 · 2026-03-25 08:13:39

60

Views

Extreme value theory: asymptotic of the least-rolled number out of a series of rolls

Published on 25 Mar 2026 - 8:13

score 86 · Answer 3 · 2026-04-15 20:05:27

86

Views

Perturbation PDE

Published on 15 Apr 2026 - 20:05

score 36 · Answer 4 · 2026-04-12 08:02:57

36

Views

Asymptotics of expression involving floor functions

Published on 12 Apr 2026 - 8:02

score 60 · Answer 5 · 2026-04-12 02:58:05

60

Views

Behaviour of polylogarithm at $|z|=1$

Published on 12 Apr 2026 - 2:58

score 69 · Answer 6 · 2026-04-12 15:07:13

69

Views

Asymptotic form of solution to biased random walk

Published on 12 Apr 2026 - 15:07

score 46 · Answer 7 · 2026-04-13 21:02:10

46

Views

Asymptotic expansion via Integration by Parts

Published on 13 Apr 2026 - 21:02

score 48 · Answer 8 · 2026-04-25 11:51:08

48

Views

Calculate $\displaystyle\sum_{k=0}^n \displaystyle\binom{n}{k} \dfrac{(-1)^{n-k}k^l}{l!}$

Published on 25 Apr 2026 - 11:51

score 50 · Answer 9 · 2026-04-12 01:25:38

50

Views

Textbook Recommendations: Measure Theory to Supplement Asymptotic Statistics (van der Vaart)

Published on 12 Apr 2026 - 1:25

score 56 · Answer 10 · 2026-04-16 04:34:48

56

Views

Prove if $f(x) = 4x^2 +9$, $f(x) = \Omega (x \log x)$

Published on 16 Apr 2026 - 4:34

score 80 · Answer 11 · 2026-04-25 11:51:36

80

Views

find condition on $a(n)$ such that the $\lim_{n\rightarrow\infty}\frac{a(n)\cdot (n-a(n))}{\log\binom{n}{a(n)}}=+\infty$

Published on 25 Apr 2026 - 11:51

score 29 · Answer 12 · 2026-04-12 03:20:18

29

Views

Asymptotic solution of non-linear ODE

Published on 12 Apr 2026 - 3:20

score 41 · Answer 13 · 2026-04-14 02:23:09

41

Views

Asymptotic behaviour of the Incomplete $\Gamma$-funtion

Published on 14 Apr 2026 - 2:23

score 27 · Answer 14 · 2026-04-16 04:36:08

27

Views

Bounding $f'(z)$ with $O(\log(\frac{1}{1-r}))$ for an Analytic Series

Published on 16 Apr 2026 - 4:36

score 2.7k · Answer 15 · 2026-04-13 06:24:51

2.7k

Views

Big O notation and polynomials

Published on 13 Apr 2026 - 6:24

List Question

When $\alpha \to \infty$, how to obtain these expansions, through asymptotic analysis, Taylor expansion or limit calculation.

Extreme value theory: asymptotic of the least-rolled number out of a series of rolls

Perturbation PDE

Asymptotics of expression involving floor functions

Behaviour of polylogarithm at $|z|=1$

Asymptotic form of solution to biased random walk

Asymptotic expansion via Integration by Parts

Calculate $\displaystyle\sum_{k=0}^n \displaystyle\binom{n}{k} \dfrac{(-1)^{n-k}k^l}{l!}$

Textbook Recommendations: Measure Theory to Supplement Asymptotic Statistics (van der Vaart)

Prove if $f(x) = 4x^2 +9$, $f(x) = \Omega (x \log x)$

find condition on $a(n)$ such that the $\lim_{n\rightarrow\infty}\frac{a(n)\cdot (n-a(n))}{\log\binom{n}{a(n)}}=+\infty$

Asymptotic solution of non-linear ODE

Asymptotic behaviour of the Incomplete $\Gamma$-funtion

Bounding $f'(z)$ with $O(\log(\frac{1}{1-r}))$ for an Analytic Series

Big O notation and polynomials

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