Timeline for A question on the real root of a polynomial
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 16, 2023 at 12:59 | comment | added | Connor | But in this recurrence relation, we can't seem to be sure that $f_n(x)$ is all real roots. | |
| Feb 16, 2023 at 12:55 | comment | added | Connor | Thanks for your comment! I'm sorry that I forgot to indicate the $n \geq 1$. Based on your comment, then by the generating function of $f_n(x)$, we get the recurrence relation of $f_n(x)$, that is $f_n(x)=xf_{n-1}(x)+x^2f_{n-3}+x^2f_{n-4}$ (for $n \geq 5$). | |
| Feb 16, 2023 at 8:28 | history | answered | Brendan McKay | CC BY-SA 4.0 |