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Aug
29
accepted Proving the mean value property of harmonic functions using distributions?
Aug
29
asked Bounding a function by its second derivative using Fourier series
Aug
18
answered How to show that e.g. $\cos(z)$ is analytic using Cauchy- Riemann differential equations?
Aug
9
comment Proving the mean value property of harmonic functions using distributions?
Thank you! This was really easy to follow! One question I have is: how do we generalize this argument to higher dimensions? I know the radial component of $\Delta \phi$ will be $\phi_{rr}+\frac{n-1}{r}\phi_r$, but why is the integral of the remaining part zero?
Aug
8
asked Proving the mean value property of harmonic functions using distributions?
Jan
20
comment Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$
Thank you! I had not thought about the structure of $G$ at all.
Jan
20
accepted Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$
Jan
19
asked Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$
Jan
16
awarded  Yearling
Nov
20
accepted Can the word “derive” be used to mean “take the derivative of”?
Nov
9
asked Can the word “derive” be used to mean “take the derivative of”?
Nov
6
answered Is there a methodical way to compute Euler's Phi function
Sep
10
accepted How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$?
Sep
9
awarded  Nice Question
Sep
8
comment How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$?
This is really nice! Thanks!
Sep
8
comment How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$?
Wow! This really is an immediate consequence of L'Hopital's rule! Thanks for helping me finish my solution!
Sep
8
revised How can an ordered pair be expressed as a set?
add definition tag
Sep
8
suggested approved edit on How can an ordered pair be expressed as a set?
Sep
8
asked How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$?
Aug
24
awarded  Organizer