Timeline for Generating functions, Tutte polynomials, and the bivariate series $\sum_n x^n y^{n^2} / n!$.
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jan 15, 2015 at 8:22 | history | bounty ended | CommunityBot | ||
| S Jan 15, 2015 at 8:22 | history | notice removed | CommunityBot | ||
| Jan 14, 2015 at 4:36 | answer | added | Gjergji Zaimi | timeline score: 3 | |
| Jan 12, 2015 at 14:35 | answer | added | Abdelmalek Abdesselam | timeline score: 1 | |
| S Jan 7, 2015 at 7:03 | history | bounty started | მამუკა ჯიბლაძე | ||
| S Jan 7, 2015 at 7:03 | history | notice added | მამუკა ჯიბლაძე | Draw attention | |
| Apr 8, 2014 at 7:24 | comment | added | მამუკა ჯიბლაძე | I am not sure if this might lead to anything but $$ \sum_{n\geqslant0}\frac{e^{nz}e^{n^2t}}{n!}=e\sum_{k,l\geqslant0} \frac{{B_{k+2l}}}{{k!l!(k+l)!}}z^kt^l $$ where the $B$'s are the Bell numbers... | |
| Jul 3, 2012 at 18:49 | comment | added | Gerald Edgar | So writing $g(u)=f(\exp(u))$, Ira's equation becomes a "delay differential equation" where the derivative $g'(u)$ is written in terms of $g(u-\tau)$, for some $\tau$. | |
| Jul 3, 2012 at 17:58 | comment | added | Federico Ardila | Ira, I did mean that, and I corrected it in the post. (I hope that's proper math overflow etiquette.) | |
| Jul 3, 2012 at 17:56 | history | edited | Federico Ardila | CC BY-SA 3.0 |
corrected a typo in the formula; deleted 3 characters in body
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| Jul 3, 2012 at 17:17 | comment | added | Ira Gessel | The generating function $f(x) = \sum_n x^n y^\binom{n}{2}/n!$ satisfies $f'(x) = f(xy)$. | |
| Jul 3, 2012 at 17:03 | comment | added | Martin Rubey | Is it known whether $\sum x^n y^{n^2} / {n!}$ satisfies an ADE? | |
| Jul 3, 2012 at 13:39 | comment | added | Ira Gessel | Don't you mean $\sum_n x^n y^{n^2}/n!$? | |
| Jul 3, 2012 at 1:06 | history | edited | Federico Ardila | CC BY-SA 3.0 |
added 57 characters in body
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| Jul 3, 2012 at 0:58 | comment | added | Qiaochu Yuan | en.wikipedia.org/wiki/Theta_function | |
| Jul 3, 2012 at 0:48 | history | asked | Federico Ardila | CC BY-SA 3.0 |