Timeline for Ordinary or Rational Generating Function for Associated Stirling Numbers $b(n,k)$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Jan 4, 2017 at 23:30 | comment | added | Eleven-Eleven | I think i agree with you in terms of the $\beta_k$. Part of the reason i need this is i am relating function expansions to identify identities, so having it in the partial fraction summation form helps, i believe, for what i need. | |
| Jan 4, 2017 at 17:03 | comment | added | Pietro Majer | A better way to do this should be working directly on the expression for $\beta_k$ given above, finding its partial fraction decomposition. | |
| Jan 4, 2017 at 17:01 | comment | added | Pietro Majer | Hi -I just removed the last comments as I started thinking they were not that useful. It was this 1) the values $P_k(1/j)$ for $j=1,\dots, k$ can be computed iteratively form the iteration, and have a not-too bad expression. If one can also compute e.g. some derivatives in these points, $P^{(i)}_k(1/j)$, collecting ${k\choose 2}+1$ linear conditions, then $P_k$ would be identified as the Hermite interpolation polynomial at these points. | |
| Jan 4, 2017 at 15:06 | comment | added | Eleven-Eleven | Hello. I noticed the comments and edits were taken down. I wanted to get more in depth with the edits you made, but now I dont see them Do you know whathappened? | |
| Dec 31, 2016 at 20:08 | comment | added | Eleven-Eleven | I gave you credit for answering my question. I have another question though. Is there a way to discern the $P_k(x)$ and if so, what method could i employ to find them specifically? | |
| Dec 31, 2016 at 19:59 | vote | accept | Eleven-Eleven | ||
| Oct 19, 2016 at 6:06 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Oct 1, 2016 at 0:07 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Sep 30, 2016 at 20:14 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Sep 30, 2016 at 18:59 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Sep 30, 2016 at 17:59 | history | answered | Pietro Majer | CC BY-SA 3.0 |