Timeline for An explicit representation for polynomials generated by a power of $x/\sin(x)$
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Aug 23, 2017 at 17:42 | answer | added | Neil Strickland | timeline score: 1 | |
| Aug 23, 2017 at 17:05 | answer | added | Ira Gessel | timeline score: 2 | |
| Aug 23, 2017 at 13:03 | comment | added | Twi | @Alex Gavrilov: Nothing is wrong with Norlund's polynomials. It's just a different notation; see also the comment to Ira. | |
| Aug 23, 2017 at 13:00 | comment | added | Twi | @Ira Gessel: My motivation comes from an asymptotic expansion of a certain special function where these polynomials appear (in more complicated way, unfortunately). The desired thing is to be able to deduce, for example, sign or monotonicity of those complicated expressions. As a first phase, I try to have a better intuition of $d_{k}(n)$ as function of $n$. I was able to collect some of their properties mainly from Norlund's book. But a sort of an explicit representation of these polynomials is missing (if there is any). A double sum would be much better then $k$ sums. | |
| Aug 23, 2017 at 10:01 | comment | added | Alex Gavrilov | What is wrong with $B_n^{(a)}$? If this is not explicit enough for you, then you have to explain in more detail what exactly you want. Otherwise, as others already suggested, this is too vague a question to answer. | |
| Aug 23, 2017 at 6:44 | comment | added | Ira Gessel | What sort of formula are you looking for? There might be a formula as a double sum, but probably nothing simpler. Would that do any good? | |
| Aug 23, 2017 at 3:02 | history | edited | Max Alekseyev |
added combinatorics category
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| Aug 23, 2017 at 2:24 | answer | added | Max Alekseyev | timeline score: 8 | |
| Aug 22, 2017 at 20:22 | history | asked | Twi | CC BY-SA 3.0 |