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bio website math.purdue.edu/~eremenko
location United States
age 61
visits member for 2 years, 11 months
seen 52 mins ago
Math Professor

21h
comment Gamma Functions
Where is the "integral equation"?
Jul
2
comment Getting back into advanced mathematics
There are no special books, you should use common books. A professional mathematician in the area of your intended graduate study may suggest a specific set of books.
Jul
2
comment Getting back into advanced mathematics
"Coming back to mathematics" as you describe it is very rare, but possible (I know some successful examples). Because of rarity, there are no special books for these people. In all cases I know, personal contacts with mathematicians were used to return to research.
Jul
1
answered criterion for a differential of the third kind to be a logarithmic derivative of a function
Jun
30
comment Convex polyhedron and its Gauß-curvature
You do not need Gauss Bonnet to prove the evident fact that sum of angles around a vertex of a convex polytope is less than $2\pi$.
Jun
28
comment Does the proof of Picard's theorem become simpler by increasing the number of points that are not attained?
This is sometimes called the Kobayashi-Zaidenerg Conjecture, based on the paper of Zaidenberg MR0904640.
Jun
27
awarded  Nice Answer
Jun
27
answered Does the proof of Picard's theorem become simpler by increasing the number of points that are not attained?
Jun
25
reviewed Leave Open Are spherical harmonics uniformly bounded?
Jun
20
comment Positivity of logarithmic energy of certain measures
For Newtonian potential it is simpler. What you wrote is true for every signed measure, no need to require compact support. The reference is the same book, or any other book on potential theory.
Jun
17
awarded  Popular Question
Jun
14
comment Given 2 bounded power series, whether one can be written as a compound power series of the other one?
What's a "bounded polynomial"?
Jun
12
awarded  Necromancer
Jun
11
comment The unpublished papers in reference to the published papers
@ketil Tveiten: Big or small, I feel responsible for what I write, so if I cite something incorrect, or cite it incorrectly, this is my fault. So I try at least to fully understand everything I cite. Including the proofs, of course.
Jun
10
comment Separable coordinate systems for the Laplace and Helmholtz equations?
Here is one reference later than 1960s: MR1220799 Miller, W., Jr. Rubel, Lee A. Functional separation of variables for Laplace equations in two dimensions, J. Phys. A 26 (1993), no. 8, 1901–1913.
Jun
9
comment The unpublished papers in reference to the published papers
@cody: Yes, I suppose so. Of course I may forget something but I believe at the time when I cited I knew the proof of what I cited.
Jun
9
comment What is $\infty^6$?
@MikeShulman: Next time I will be in a library I will look for an appropriate book.
Jun
8
awarded  Enlightened
Jun
8
awarded  Nice Answer
Jun
8
comment What is $\infty^6$?
Such questions are usually hard to answer, and I supposed nobody (rigorously) defined it, the notation was intuitively clear. Who used it first? is difficult to answer, and I conjecture that some projective geometer in early 19 century.