bio  website  voofie.com/user/ross_tang 

location  
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visits  member for  4 years, 7 months 
seen  Dec 5 '13 at 8:19  
stats  profile views  784 
Come here to write articles about mathematics, or discussion is welcome as well.
Sep 24 
awarded  Autobiographer 
Jul 2 
awarded  Curious 
Feb 28 
awarded  Popular Question 
Jun 19 
awarded  Popular Question 
Apr 9 
awarded  Yearling 
Feb 28 
awarded  Popular Question 
Sep 16 
answered  differentialdifference threeterm recursion 
Aug 18 
accepted  Why relativization can't solve NP !=P? 
Aug 15 
asked  Why relativization can't solve NP !=P? 
Aug 6 
comment 
Recursions which define polynomials
From another comment: "Can you give me some hints on how to generate (say, nontrivially) polynomials from your final formula, having a rational function a(t) ? Thanks! " He asked for method to generate polynomial from Max Alekseyev's formula. So I think providing a method is good enough. 
Aug 6 
comment 
Recursions which define polynomials
"I could not find any other example of a polynomial sequence generated in this way. I simply look for another such sequence of polynomials, so if you've ever seen something similar, please let me know. One more example would be a good answer to my question.", from author's comment. He just asked for 1 more example. And there is no mention of surprise? 
Aug 6 
revised 
Recursions which define polynomials
added 299 characters in body; added 80 characters in body 
Aug 6 
answered  Recursions which define polynomials 
Aug 2 
revised 
Solving partial difference equation
edited tags 
Aug 1 
comment 
Solving partial difference equation
Furthermore, for the Eulerian numbers, the order of difference equation for both the variables k and n are 1. But for the equation I asked, it is first order in n, but 2nd order in k. So I think they differ quite a lot. 
Jul 27 
comment 
Explicit formula for Euler zigzag numbers(Up/down numbers)
Wadim, you are right. It is really an explicit formula. I didn't notice it since I don't know Euler polynomials has explicit expansion. However, the formula you provided has an absolute sign. I think it will make all the manipulation and computation inconvenient? 
Jul 27 
comment 
Solving partial difference equation
You are right, Zudilin. Are you interested in finding a close form solution? Btw, the zigzags are just the tangent and secant number. Therefore that's not really mine. 
Jul 27 
comment 
Solving partial difference equation
Thank you for your answer. I read the page you mentioned in wikipedia. There is indeed closed form to Eulerian numbers: $A(n,m)=\sum_{k=0}^{m}(1)^k \binom{n+1}{k} (m+1k)^n.$ I don't know if I read it wrongly or not. Thanks!

Jul 27 
comment 
Explicit formula for Euler zigzag numbers(Up/down numbers)
Dear everyone, I found the above formula when I am trying to solve a partial difference equation as an exercise. mathoverflow.net/questions/33498/… The Euler zigzag numbers are secant and tangent number respectively for the even term and odd term, and it is given by $A_0^n$ from the sequence $A_k^n$ from the above link. I would be very please if anyone can give me some insight in solving the partial difference equation. Thank you.

Jul 27 
asked  Solving partial difference equation 