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Mathematics
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Antonio Vargas

I like studying the zeros of functions. Here's a list of my answers on the topic here on Math.SE. I also enjoy answering questions about asymptotics in general.

Check out my attempt to add real-time previews for comments here on Stack Exchange.

Also take a look at this problem sequence which guides the reader through an application of the saddle point method and derives the equation of the famous Szegő curve.

My avatar is cropped from this image by Garyck Arntzen.

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Top Posts (542) All Questions Answers | Votes Newest

35 Evaluate:: $ 2 \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n+1}\left( 1 + \frac12 +\cdots + \frac 1n\right) $ Feb 2 '13
32 Derivation of asymptotic solution of $\tan(x) = x$. Feb 22 '12
25 Finding the value of $\sqrt{1+2\sqrt{2+3\sqrt{3+4\sqrt{4+5\sqrt{5+\dots}}}}}$ Jul 4 '13
23 Rounding is asymptotically useless? Mar 3 '12
21 Partial sum of the harmonic series between two consecutive fibonacci numbers Oct 30 '16
21 Showing that $\gamma = -\int_0^{\infty} e^{-t} \log t \,dt$, where $\gamma$ is the Euler-Mascheroni constant. Feb 23 '12
21 Approximation to the Lambert W function Aug 8 '13
20 Number of real positive roots of a polynomial? Jul 26 '13
20 Eigenvalues and eigenfunctions for the Fredholm integral operator $K(g) = \int_0^1 e^{x t} g(t) \, dt$. Feb 11 '12
20 Asymptotic analysis of the integral $\int_0^1 \exp\{n (t+\log t) + \sqrt{n} wt\}\,dt$ Sep 16 '12
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