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seen Jun 26 at 20:11

Aug
14
awarded  Nice Question
Mar
5
awarded  Popular Question
May
24
awarded  Commentator
May
24
comment A “simple” 3rd grade problem…or is it?
Well, it depends on the topology of the board. The teacher is right if the board has the topology of, say, a ring or a torus. ;)
Nov
7
awarded  Enthusiast
Apr
2
accepted “Non-commutative” Recurrence relation $ C_m = \alpha_m C_{m-1} + \beta_m C_{m-2} $
Mar
26
revised Construction of polynomials with non-commutative elements.
edited title
Mar
26
revised Construction of polynomials with non-commutative elements.
Explanation added
Mar
26
comment Construction of polynomials with non-commutative elements.
@Mark, If you follow the link in my comment above you will see that this is the exact recursion relation I am trying to solve. I will edit my question and make it more clear what I am trying to achieve.
Mar
26
revised Construction of polynomials with non-commutative elements.
added 18 characters in body
Mar
26
comment Construction of polynomials with non-commutative elements.
It's part of a calculations I am doing regarding correlation functions in AdS/CFT correspondence around a rotating black hole background, more concretely I am working with many coupled PDE's. Even more concretely, I'm trying to find a solution for the recurrence relation in my last question (math.stackexchange.com/questions/123477/…).
Mar
26
asked Construction of polynomials with non-commutative elements.
Mar
26
comment “Non-commutative” Recurrence relation $ C_m = \alpha_m C_{m-1} + \beta_m C_{m-2} $
Thanks for your suggestion Henry, I am afraid that this expression is slightly too abstract for my needs. It would be nicer to have $P_m(\alpha,\beta)$ written in terms of concrete sums and products. By the way, your expression doesn't seem to take into account that none of the $\alpha$ and $\beta$'s commute.
Mar
23
revised “Non-commutative” Recurrence relation $ C_m = \alpha_m C_{m-1} + \beta_m C_{m-2} $
deleted 70 characters in body; edited title
Mar
22
revised “Non-commutative” Recurrence relation $ C_m = \alpha_m C_{m-1} + \beta_m C_{m-2} $
deleted 11 characters in body
Mar
22
asked “Non-commutative” Recurrence relation $ C_m = \alpha_m C_{m-1} + \beta_m C_{m-2} $
Nov
7
awarded  Scholar
Nov
7
accepted Contour Integration and Branch Cuts
Nov
7
comment Contour Integration and Branch Cuts
Yeah, I need to look into it. There are just many integrals of the same type in this field and all of them gives hypergeometric functions (this can we shown to be the correct solution by other independent methods). I think the conclusion is that I'm misunderstanding some details in what these papers do. I am now pretty convinced that the way I understood the integrals to begin with, cannot be correct. Thanks for your nice answer, it has been very helpful.
Nov
7
awarded  Editor