Timeline for Positive, Uni-modal, Log-concave Combinatorics
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 19, 2014 at 1:51 | comment | added | Bobby Ocean | @PerAlexandersson My motivation of this problem is related to functions in the Laguerre-Polya class (entire functions that can be uniformly approximated by real-rooted polynomials). Functions in this class with positive coefficients have log-concave coefficients that are either unimodal (eventually decreasing), decreasing, or increasing. In the increasing case, it is known that my question is false. What is not really understood is the decreasing case or uni-modal case. For a more analytic perspective, see math.hawaii.edu/~tom/mathfiles/gausslucas.pdf | |
| Jun 19, 2014 at 0:53 | history | edited | Bobby Ocean | CC BY-SA 3.0 |
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| Jun 19, 2014 at 0:53 | comment | added | Bobby Ocean | Yes, I do. Sorry about that. | |
| Jun 13, 2014 at 4:45 | comment | added | Christian Remling | You probably mean $a_m>a_{m+1}>\ldots$ in the definition of unimodal. | |
| Jun 9, 2014 at 10:10 | comment | added | Per Alexandersson | What is the motivation behind this question? | |
| Jun 9, 2014 at 8:34 | history | edited | Seva |
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| Jun 9, 2014 at 5:42 | history | asked | Bobby Ocean | CC BY-SA 3.0 |