Timeline for What is the formula for $\mathcal P_{n}^{k} (a_{1}, a_{2}, ...)$, defined by Peter Luschny?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 13 at 9:34 | history | edited | Math123 | CC BY-SA 4.0 |
deleted 285 characters in body
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| Jul 6 at 15:44 | comment | added | LSpice |
@MarkWildon, re, I believe \genfrac does work in comments (though I'll shamefacedly delete this comment if it doesn't). It takes 6 arguments, which does make it easy to miss one: $\genfrac\{\}{0pt}{}n k$ \genfrac\{\}{0pt}{}n k.
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| Jul 6 at 14:55 | history | edited | Math123 | CC BY-SA 4.0 |
added 199 characters in body
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| Jul 6 at 9:19 | vote | accept | Math123 | ||
| Jul 5 at 7:18 | answer | added | Peter Taylor | timeline score: 10 | |
| Jul 4 at 20:08 | comment | added | Mark Wildon | The specialization at $1$, $1/2$, $1/3, \ldots$ reminds me of the formula $h_r(1,2,3,\ldots, m) = S(r+m,m)$, where $h_r$ is the complete homogeneous symmetric function of degree $r$ and $S$ is the second kind Stirling number denoted with curly braces above. (It seems genfrac doesn't work in comments.) Dually for the (positive) first kind Stirling numbers, denoted with square brackets above, there is $e_r(1,2,3,\ldots, m) = s(m+1,m+1-r)$, where $e_r$ is the elementary symmetric function of degree $r$. | |
| Jul 4 at 19:33 | comment | added | Math123 | @LSpice Thank you, the equations are well transcribed. | |
| Jul 4 at 19:28 | comment | added | LSpice | Welcome to MO! It is better to use TeX rather than images, for searchability and accessibility. I have transcribed your images—I believe accurately, but please check. | |
| Jul 4 at 19:25 | history | edited | LSpice | CC BY-SA 4.0 |
Images to TeX
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| S Jul 4 at 19:08 | review | First questions | |||
| Jul 4 at 21:16 | |||||
| S Jul 4 at 19:08 | history | asked | Math123 | CC BY-SA 4.0 |