# Questions tagged [asymptotics]

The tag has no usage guidance.

21 questions
Filter by
Sorted by
Tagged with
24 views

129 views

### Asymptotes of parabolic cylinder differential equations with boundaries at infinity

For context, I'm studying the paper Coulomb blockade in superconducting quantum point contacts by Averin from 1998. Specifically, I am trying to find how he obtains equation 11 from equation 10, which ...
94 views

### Functional operations with data [closed]

I have the following data (a shorter sample of the whole data) : ...
69 views

### Discordance between the results of AsymptoticIntegrate and calculations

Mathematica 11.3 finds r = Integrate[Cos[k*(x^4 - x)], {x, -Infinity, Infinity}, Assumptions -> k > 0] ...
126 views

### Finding series expansion of solution of algebraic equation

I have the following algebraic equation: ...
### Is there a way to check whether $f(x)=o(g(x))$ for given $f$ and $g$?
I would like a way to check, for two arbitrary but specified real analytic functions $f(x)$ and $g(x)$, whether $f(x)=o(g(x))$. I am using "little-o notation," where $f(x)=o(g(x))$ is true if and ...
I wanted to find the asymptotic form of $$\int_0^1\mathrm{d}x\int_0^1\mathrm{d}y\,\mathrm{e}^{M(x-1/2)^2+M(y-1/2)^2}$$ for $M\rightarrow\infty$. I tried ...