Timeline for Identifying a special function from its power series
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2013 at 14:31 | vote | accept | Edwin Beggs | ||
| Nov 6, 2013 at 17:48 | answer | added | Ira Gessel | timeline score: 7 | |
| Nov 6, 2013 at 16:12 | vote | accept | Edwin Beggs | ||
| Nov 8, 2013 at 14:31 | |||||
| Nov 6, 2013 at 15:08 | answer | added | Andrei MF | timeline score: 4 | |
| Nov 6, 2013 at 14:33 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
added top level tag
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| Nov 6, 2013 at 14:04 | history | edited | Edwin Beggs | CC BY-SA 3.0 |
subsidiary question, once the original series was recognized
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| Nov 6, 2013 at 13:40 | comment | added | Edwin Beggs | Thanks, that is a more parameter version of the Hypergeometric than I am used to! It comes from looking at the eigenvalues of the Hodge Laplacian in the 1-forms of the noncommutative sphere (guess q=1 is just commutative sphere). The sum, evaluated at x=-1, is used in finding the normalisation of the eigen-1-forms in the Hodge inner product. I am hoping that knowing the classical analogue will help in the quantum case. | |
| Nov 6, 2013 at 13:01 | comment | added | Henry Cohn | Isn't it hypergeometric? Maybe I'm messed up, but it looks like a multiple of ${}_3F_3(-p, n+r+3, 2n+p+3; n+3, n+r+2, 2n+r+4; -x)$. (This is from taking the ratio of the $s+1$ and $s$ terms and factoring.) Where did this function come from? It seems plausible that one could say more than just that it's hypergeometric, but I'm not sure what. | |
| Nov 6, 2013 at 11:05 | history | asked | Edwin Beggs | CC BY-SA 3.0 |