bio | website | math.sunysb.edu/~myounsi |
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location | Stony Brook, NY, USA | |
age | ||
visits | member for | 5 years, 3 months |
seen | 2 hours ago | |
stats | profile views | 1,912 |
I am currently a NSERC postdoctoral fellow at Stony Brook University.
Jan 12 |
comment |
This inequality why can't solve it by now (Only four variables inequality)?
@AdamP.Goucher : But in your book "Mathematical Olympiad Dark Arts", you say "Hence [by Delzell's algorithm] it is theoretically possible to prove any inequality involving rational functions simply by reducing it to the sum of squares inequality. However, this approach is similar in its impracticality to building an automobile using Stone Age tools." As for the present problem, I would be quite interested to see the automobile built more efficiently..! |
Jan 12 |
revised |
Analytic diffeomorphisms of the circle from complex domains
added 803 characters in body |
Jan 12 |
revised |
Analytic diffeomorphisms of the circle from complex domains
added 803 characters in body |
Jan 12 |
answered | Analytic diffeomorphisms of the circle from complex domains |
Dec 12 |
comment |
Bound areas of disks with respect to a quadratic differential
@DylanThurston : I'm glad I could help. |
Dec 12 |
revised |
Bound areas of disks with respect to a quadratic differential
added 67 characters in body |
Dec 12 |
revised |
Bound areas of disks with respect to a quadratic differential
deleted 25 characters in body |
Dec 12 |
comment |
Bound areas of disks with respect to a quadratic differential
Yes, I made a silly mistake. I corrected my answer, hopefully it works now. |
Dec 12 |
revised |
Bound areas of disks with respect to a quadratic differential
deleted 24 characters in body |
Dec 12 |
answered | Bound areas of disks with respect to a quadratic differential |
Dec 8 |
accepted | Is this infinite series related to some well-known special functions? |
Dec 8 |
comment |
Is this infinite series related to some well-known special functions?
Great, thank you! +1 |
Dec 8 |
awarded | Good Answer |
Dec 4 |
comment |
Starshapeness of polynomial tracts with respect to the (entire collection of) critical points contained in the tract
Do you assume that $G$ is connected? |
Dec 3 |
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Starshapeness of polynomial tracts with respect to the (entire collection of) critical points contained in the tract
There is also a simple proof using potential theory in the book "Potential theory in the complex plane" by Thomas Ransford, Theorem 5.5.8. I don't have access to Walsh's book right now, so I don't know if the proof is the same. |
Nov 14 |
comment |
Applications of the Small and Great Theorems of Picard
@GHfromMO Ah, I didn't realize you were talking about meromorphic functions. Good point! The argument works for entire functions, but I don't know how to prove the result for meromorphic functions using Picard's theorem. |
Nov 14 |
comment |
Applications of the Small and Great Theorems of Picard
@GHfromMO : From the factorization $1=\prod_{j=1}^n (f-\zeta_j g)$ where $\zeta_1,\dots,\zeta_n$ are the $n$ roots of $z^n+1=0$, it follows that $f/g$ is a meromorphic function that omits the values $\zeta_1,\dots,\zeta_n$, and hence must be constant by Picard's theorem. From this it follows easily that both $f$ and $g$ must be constant. |
Nov 12 |
comment |
Non-trivial global solution for Dirichlet eigenvalue problem
I don't understand the new formulation... If $\Delta f = \lambda f$ almost everywhere, then $\Delta f = \lambda f$ everywhere just by continuity. |
Nov 5 |
comment |
Is this infinite series related to some well-known special functions?
The formula looks correct, but I have no idea how to obtain it... |
Nov 5 |
comment |
Is this infinite series related to some well-known special functions?
Whoa, where does that come from? :-) |